{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":43755,"title":"Divide the Least Common Multiple by the Greatest Common Divisor of two numbers","description":"Divide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\r\n\r\n  223530915/3 =\r\n  74510305 (ANSWER)","description_html":"\u003cp\u003eDivide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e223530915/3 =\r\n74510305 (ANSWER)\r\n\u003c/pre\u003e","function_template":"function z = your_fcn_name(x,y)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 12345;\r\ny = 54321;\r\ny_correct = 74510305;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 12;\r\ny = 54;\r\ny_correct = 18;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 1;\r\ny = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 987654321;\r\ny = x;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 800;\r\ny = 26000;\r\ny_correct = 130;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 65536;\r\ny = 32768;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x,y),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":93456,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-07T23:00:01.000Z","updated_at":"2026-03-19T18:26:49.000Z","published_at":"2016-12-07T23:00:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[223530915/3 =\\n74510305 (ANSWER)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1066,"title":"Multiples of a Number in a Given Range","description":"Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fall in the specified range.\r\n\r\nExample:\r\n\r\n    f = 10;\r\n    xlow = 35;\r\n    xhigh = 112;\r\n    multiples = bounded_multiples(f, xlow, xhigh);\r\n\r\nOutputs\r\n\r\n    multiples = [ 40 50 60 70 80 90 100 110 ];","description_html":"\u003cp\u003eGiven an integer factor \u003ci\u003ef\u003c/i\u003e and a range defined by \u003ci\u003exlow\u003c/i\u003e and \u003ci\u003exhigh\u003c/i\u003e inclusive, return a vector of the multiples of \u003ci\u003ef\u003c/i\u003e that fall in the specified range.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e    f = 10;\r\n    xlow = 35;\r\n    xhigh = 112;\r\n    multiples = bounded_multiples(f, xlow, xhigh);\u003c/pre\u003e\u003cp\u003eOutputs\u003c/p\u003e\u003cpre\u003e    multiples = [ 40 50 60 70 80 90 100 110 ];\u003c/pre\u003e","function_template":"function multiples = bounded_multiples(f, xlow, xhigh)\r\n  multiples = f*2;\r\nend","test_suite":"%%\r\nassert(isequal(bounded_multiples(66,119,163),132))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(50,341,960),[350 400 450 500 550 600 650 700 750 800 850 900 950]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(59,224,752),[236 295 354 413 472 531 590 649 708]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(26,506,700),[520 546 572 598 624 650 676]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(90,548,960),[630 720 810 900]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(14,150,258),[154 168 182 196 210 224 238 252]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(85,255,815),[255 340 425 510 595 680 765]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(25,350,930),[350 375 400 425 450 475 500 525 550 575 600 625 650 675 700 725 750 775 800 825 850 875 900 925]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(20,252,617),[260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(48,352,831),[384 432 480 528 576 624 672 720 768 816]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(59,550,918),[590 649 708 767 826 885]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(29,754,758),754))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(39,76,568),[78 117 156 195 234 273 312 351 390 429 468 507 546]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(6,531,780),[534 540 546 552 558 564 570 576 582 588 594 600 606 612 618 624 630 636 642 648 654 660 666 672 678 684 690 696 702 708 714 720 726 732 738 744 750 756 762 768 774 780]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(94,130,569),[188 282 376 470 564]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(47,12,338),[47 94 141 188 235 282 329]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(17,312,795),[323 340 357 374 391 408 425 442 459 476 493 510 527 544 561 578 595 612 629 646 663 680 697 714 731 748 765 782]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(53,166,602),[212 265 318 371 424 477 530 583]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(27,655,690),675))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(75,84,451),[150 225 300 375 450]))\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":939,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-11-27T06:14:53.000Z","updated_at":"2026-01-12T18:29:19.000Z","published_at":"2012-12-04T19:54:23.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer factor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and a range defined by\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exlow\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exhigh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e inclusive, return a vector of the multiples of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that fall in the specified range.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[    f = 10;\\n    xlow = 35;\\n    xhigh = 112;\\n    multiples = bounded_multiples(f, xlow, xhigh);]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutputs\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[    multiples = [ 40 50 60 70 80 90 100 110 ];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":42385,"title":"Combined Ages 4 - Non-symmetric with multiples, n ≥ 3","description":"This problem is slightly more difficult than \u003chttp://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3 Combined Ages 3\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\r\n\r\nThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\r\n\r\n* A+B+C+C = ABCC (= 98)\r\n* B+B+C = BBC (= 84)\r\n* A+A+B = AAB (= 70)\r\n\r\nThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. See the test suite for examples and the tags for some hints.","description_html":"\u003cp\u003eThis problem is slightly more difficult than \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3\"\u003eCombined Ages 3\u003c/a\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\u003c/p\u003e\u003cp\u003eThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\u003c/p\u003e\u003cul\u003e\u003cli\u003eA+B+C+C = ABCC (= 98)\u003c/li\u003e\u003cli\u003eB+B+C = BBC (= 84)\u003c/li\u003e\u003cli\u003eA+A+B = AAB (= 70)\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. See the test suite for examples and the tags for some hints.\u003c/p\u003e","function_template":"function y = combined_ages_nonsymmetric_w_mult(varargin)\r\n y = ones(nargin,1);\r\nend","test_suite":"%%\r\nABCD = 70;\r\nABC = 65;\r\nAB = 40;\r\nBC = 52;\r\ny = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\ny_correct = [13;27;25;5];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCC = 98;\r\nBBC = 84;\r\nAAB = 70;\r\ny = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\ny_correct = [20;30;24];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCDA = 150;\r\nABCB = 99;\r\nBCDB = 91;\r\nABDAD = 135;\r\ny = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\ny_correct = [35;11;42;27];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABBA = 90;\r\nBCC = 113;\r\nABCBA = 141;\r\ny = combined_ages_nonsymmetric_w_mult(ABBA,BCC,ABCBA);\r\ny_correct = [34;11;51];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCDE = 120;\r\nABCDD = 111;\r\nABCCC = 87;\r\nABBBB = 66;\r\nAAAAA = 50;\r\ny = combined_ages_nonsymmetric_w_mult(ABCDE,ABCDD,ABCCC,ABBBB,AAAAA);\r\ny_correct = [10,14,21,33,42];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABC = 45;\r\nBEA = 66;\r\nCAE = 73;\r\nDAB = 57;\r\nAAD = 53;\r\ny = combined_ages_nonsymmetric_w_mult(ABC,BEA,CAE,DAB,AAD);\r\ny_correct = [10,14,21,33,42];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCABC = 144;\r\nBEAB = 107;\r\nCAEAD = 147;\r\nDABB = 73;\r\nAADAA = 133;\r\ny = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\ny_correct = [30,15,27,13,47];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\n\tcase 2\r\n\t\tABCDA = 150;\r\n\t\tABCB = 99;\r\n\t\tBCDB = 91;\r\n\t\tABDAD = 135;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\n\t\ty_correct = [35;11;42;27];\r\n\tcase 3\r\n\t\tABCABC = 144;\r\n\t\tBEAB = 107;\r\n\t\tCAEAD = 147;\r\n\t\tDABB = 73;\r\n\t\tAADAA = 133;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\n\t\ty_correct = [30,15,27,13,47];\r\n\tcase 4\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\n\tcase 2\r\n\t\tABCABC = 144;\r\n\t\tBEAB = 107;\r\n\t\tCAEAD = 147;\r\n\t\tDABB = 73;\r\n\t\tAADAA = 133;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\n\t\ty_correct = [30,15,27,13,47];\r\n\tcase 3\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\n\tcase 4\r\n\t\tABC = 45;\r\n\t\tBEA = 66;\r\n\t\tCAE = 73;\r\n\t\tDAB = 57;\r\n\t\tAAD = 53;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABC,BEA,CAE,DAB,AAD);\r\n\t\ty_correct = [10,14,21,33,42];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABBA = 90;\r\n\t\tBCC = 113;\r\n\t\tABCBA = 141;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABBA,BCC,ABCBA);\r\n\t\ty_correct = [34;11;51];\r\n\tcase 2\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\n\tcase 3\r\n\t\tABCDA = 150;\r\n\t\tABCB = 99;\r\n\t\tBCDB = 91;\r\n\t\tABDAD = 135;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\n\t\ty_correct = [35;11;42;27];\r\n\tcase 4\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":122,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-06-16T20:03:26.000Z","updated_at":"2026-03-24T04:49:54.000Z","published_at":"2015-06-16T20:03:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis problem is slightly more difficult than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCombined Ages 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA+B+C+C = ABCC (= 98)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eB+B+C = BBC (= 84)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA+A+B = AAB (= 70)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. See the test suite for examples and the tags for some hints.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":43755,"title":"Divide the Least Common Multiple by the Greatest Common Divisor of two numbers","description":"Divide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\r\n\r\n  223530915/3 =\r\n  74510305 (ANSWER)","description_html":"\u003cp\u003eDivide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e223530915/3 =\r\n74510305 (ANSWER)\r\n\u003c/pre\u003e","function_template":"function z = your_fcn_name(x,y)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 12345;\r\ny = 54321;\r\ny_correct = 74510305;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 12;\r\ny = 54;\r\ny_correct = 18;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 1;\r\ny = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 987654321;\r\ny = x;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 800;\r\ny = 26000;\r\ny_correct = 130;\r\nassert(isequal(your_fcn_name(x,y),y_correct))\r\n%%\r\nx = 65536;\r\ny = 32768;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x,y),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":93456,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-07T23:00:01.000Z","updated_at":"2026-03-19T18:26:49.000Z","published_at":"2016-12-07T23:00:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDivide the Least Common Multiple by the Greatest Common Divisor of two numbers. For example, for x=12345 and y=54321, the answer would be\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[223530915/3 =\\n74510305 (ANSWER)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":1066,"title":"Multiples of a Number in a Given Range","description":"Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fall in the specified range.\r\n\r\nExample:\r\n\r\n    f = 10;\r\n    xlow = 35;\r\n    xhigh = 112;\r\n    multiples = bounded_multiples(f, xlow, xhigh);\r\n\r\nOutputs\r\n\r\n    multiples = [ 40 50 60 70 80 90 100 110 ];","description_html":"\u003cp\u003eGiven an integer factor \u003ci\u003ef\u003c/i\u003e and a range defined by \u003ci\u003exlow\u003c/i\u003e and \u003ci\u003exhigh\u003c/i\u003e inclusive, return a vector of the multiples of \u003ci\u003ef\u003c/i\u003e that fall in the specified range.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e    f = 10;\r\n    xlow = 35;\r\n    xhigh = 112;\r\n    multiples = bounded_multiples(f, xlow, xhigh);\u003c/pre\u003e\u003cp\u003eOutputs\u003c/p\u003e\u003cpre\u003e    multiples = [ 40 50 60 70 80 90 100 110 ];\u003c/pre\u003e","function_template":"function multiples = bounded_multiples(f, xlow, xhigh)\r\n  multiples = f*2;\r\nend","test_suite":"%%\r\nassert(isequal(bounded_multiples(66,119,163),132))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(50,341,960),[350 400 450 500 550 600 650 700 750 800 850 900 950]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(59,224,752),[236 295 354 413 472 531 590 649 708]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(26,506,700),[520 546 572 598 624 650 676]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(90,548,960),[630 720 810 900]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(14,150,258),[154 168 182 196 210 224 238 252]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(85,255,815),[255 340 425 510 595 680 765]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(25,350,930),[350 375 400 425 450 475 500 525 550 575 600 625 650 675 700 725 750 775 800 825 850 875 900 925]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(20,252,617),[260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(48,352,831),[384 432 480 528 576 624 672 720 768 816]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(59,550,918),[590 649 708 767 826 885]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(29,754,758),754))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(39,76,568),[78 117 156 195 234 273 312 351 390 429 468 507 546]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(6,531,780),[534 540 546 552 558 564 570 576 582 588 594 600 606 612 618 624 630 636 642 648 654 660 666 672 678 684 690 696 702 708 714 720 726 732 738 744 750 756 762 768 774 780]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(94,130,569),[188 282 376 470 564]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(47,12,338),[47 94 141 188 235 282 329]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(17,312,795),[323 340 357 374 391 408 425 442 459 476 493 510 527 544 561 578 595 612 629 646 663 680 697 714 731 748 765 782]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(53,166,602),[212 265 318 371 424 477 530 583]))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(27,655,690),675))\r\n\r\n%%\r\nassert(isequal(bounded_multiples(75,84,451),[150 225 300 375 450]))\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":1,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":939,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-11-27T06:14:53.000Z","updated_at":"2026-01-12T18:29:19.000Z","published_at":"2012-12-04T19:54:23.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer factor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and a range defined by\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exlow\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exhigh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e inclusive, return a vector of the multiples of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that fall in the specified range.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[    f = 10;\\n    xlow = 35;\\n    xhigh = 112;\\n    multiples = bounded_multiples(f, xlow, xhigh);]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutputs\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[    multiples = [ 40 50 60 70 80 90 100 110 ];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":42385,"title":"Combined Ages 4 - Non-symmetric with multiples, n ≥ 3","description":"This problem is slightly more difficult than \u003chttp://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3 Combined Ages 3\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\r\n\r\nThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\r\n\r\n* A+B+C+C = ABCC (= 98)\r\n* B+B+C = BBC (= 84)\r\n* A+A+B = AAB (= 70)\r\n\r\nThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. See the test suite for examples and the tags for some hints.","description_html":"\u003cp\u003eThis problem is slightly more difficult than \u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3\"\u003eCombined Ages 3\u003c/a\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\u003c/p\u003e\u003cp\u003eThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\u003c/p\u003e\u003cul\u003e\u003cli\u003eA+B+C+C = ABCC (= 98)\u003c/li\u003e\u003cli\u003eB+B+C = BBC (= 84)\u003c/li\u003e\u003cli\u003eA+A+B = AAB (= 70)\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. See the test suite for examples and the tags for some hints.\u003c/p\u003e","function_template":"function y = combined_ages_nonsymmetric_w_mult(varargin)\r\n y = ones(nargin,1);\r\nend","test_suite":"%%\r\nABCD = 70;\r\nABC = 65;\r\nAB = 40;\r\nBC = 52;\r\ny = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\ny_correct = [13;27;25;5];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCC = 98;\r\nBBC = 84;\r\nAAB = 70;\r\ny = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\ny_correct = [20;30;24];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCDA = 150;\r\nABCB = 99;\r\nBCDB = 91;\r\nABDAD = 135;\r\ny = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\ny_correct = [35;11;42;27];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABBA = 90;\r\nBCC = 113;\r\nABCBA = 141;\r\ny = combined_ages_nonsymmetric_w_mult(ABBA,BCC,ABCBA);\r\ny_correct = [34;11;51];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCDE = 120;\r\nABCDD = 111;\r\nABCCC = 87;\r\nABBBB = 66;\r\nAAAAA = 50;\r\ny = combined_ages_nonsymmetric_w_mult(ABCDE,ABCDD,ABCCC,ABBBB,AAAAA);\r\ny_correct = [10,14,21,33,42];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABC = 45;\r\nBEA = 66;\r\nCAE = 73;\r\nDAB = 57;\r\nAAD = 53;\r\ny = combined_ages_nonsymmetric_w_mult(ABC,BEA,CAE,DAB,AAD);\r\ny_correct = [10,14,21,33,42];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%%\r\nABCABC = 144;\r\nBEAB = 107;\r\nCAEAD = 147;\r\nDABB = 73;\r\nAADAA = 133;\r\ny = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\ny_correct = [30,15,27,13,47];\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\n\tcase 2\r\n\t\tABCDA = 150;\r\n\t\tABCB = 99;\r\n\t\tBCDB = 91;\r\n\t\tABDAD = 135;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\n\t\ty_correct = [35;11;42;27];\r\n\tcase 3\r\n\t\tABCABC = 144;\r\n\t\tBEAB = 107;\r\n\t\tCAEAD = 147;\r\n\t\tDABB = 73;\r\n\t\tAADAA = 133;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\n\t\ty_correct = [30,15,27,13,47];\r\n\tcase 4\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\n\tcase 2\r\n\t\tABCABC = 144;\r\n\t\tBEAB = 107;\r\n\t\tCAEAD = 147;\r\n\t\tDABB = 73;\r\n\t\tAADAA = 133;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCABC,BEAB,CAEAD,DABB,AADAA);\r\n\t\ty_correct = [30,15,27,13,47];\r\n\tcase 3\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\n\tcase 4\r\n\t\tABC = 45;\r\n\t\tBEA = 66;\r\n\t\tCAE = 73;\r\n\t\tDAB = 57;\r\n\t\tAAD = 53;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABC,BEA,CAE,DAB,AAD);\r\n\t\ty_correct = [10,14,21,33,42];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n\r\n%% anti-cheating test case\r\nind = randi(4);\r\nswitch ind\r\n\tcase 1\r\n\t\tABBA = 90;\r\n\t\tBCC = 113;\r\n\t\tABCBA = 141;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABBA,BCC,ABCBA);\r\n\t\ty_correct = [34;11;51];\r\n\tcase 2\r\n\t\tABCD = 70;\r\n\t\tABC = 65;\r\n\t\tAB = 40;\r\n\t\tBC = 52;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCD,ABC,AB,BC);\r\n\t\ty_correct = [13;27;25;5];\r\n\tcase 3\r\n\t\tABCDA = 150;\r\n\t\tABCB = 99;\r\n\t\tBCDB = 91;\r\n\t\tABDAD = 135;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCDA,ABCB,BCDB,ABDAD);\r\n\t\ty_correct = [35;11;42;27];\r\n\tcase 4\r\n\t\tABCC = 98;\r\n\t\tBBC = 84;\r\n\t\tAAB = 70;\r\n\t\ty = combined_ages_nonsymmetric_w_mult(ABCC,BBC,AAB);\r\n\t\ty_correct = [20;30;24];\r\nend\r\nfor i = 1:numel(y_correct)\r\n\tassert(isequal(y(i),y_correct(i)))\r\nend\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":122,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-06-16T20:03:26.000Z","updated_at":"2026-03-24T04:49:54.000Z","published_at":"2015-06-16T20:03:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis problem is slightly more difficult than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-symmetric-n-3\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCombined Ages 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. In this case, some of the sums may include multiples of some individuals' ages. As an example: If the ages of all three individuals with Chris's age added again sum to 98, the ages of Barry (twice) and Chris sum to 84, and the ages of Alex (twice) and Barry sum to 70, what are their individual ages?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe individuals will be represented by the first n capital letters of the alphabet and the sums will be represented by variables whose string names contain each associated individual (capital letter). In this example problem, the equations would be represented as:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA+B+C+C = ABCC (= 98)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eB+B+C = BBC (= 84)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA+A+B = AAB (= 70)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThough the variables are ordered above, they will not always be in the test cases. Write a function to return the individuals' ages based on the supplied sums. 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