Problem 42383. Combined Ages 3 - Non-symmetric, n ≥ 3

Created by goc3

Solve Later

{"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":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Pursuant to the previous two problems (</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-3\"><w:r><w:t>Symmetric, n = 3</w:t></w:r></w:hyperlink><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42384-combined-ages-2-symmetric-n-3\"><w:r><w:t>Symmetric, n ≥ 3</w:t></w:r></w:hyperlink><w:r><w:t> ), this problem will provide</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> combined ages where</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> is the number of individuals, though the age sums will not form a symmetric matrix. As an example: If the ages of all four individuals sum to 70; the ages of Alex, Barry, and Chris sum to 65; the ages of Alex and Barry sum to 40; and the ages of Barry and Chris sum to 52, what are their individual ages?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The individuals will be represented by the first</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> 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:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>A+B+C+D = ABCD (= 70)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>A+B+C = ABC (= 65)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>A+B = AB (= 40)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>B+C = BC (= 52)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>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.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Pursuant to the previous two problems ( <a href = "http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-3">Symmetric, n = 3</a> and <a href = "http://www.mathworks.com/matlabcentral/cody/problems/42384-combined-ages-2-symmetric-n-3">Symmetric, n ≥ 3</a> ), this problem will provide n combined ages where n is the number of individuals, though the age sums will not form a symmetric matrix. As an example: If the ages of all four individuals sum to 70; the ages of Alex, Barry, and Chris sum to 65; the ages of Alex and Barry sum to 40; and the ages of Barry and Chris sum to 52, what are their individual ages?The 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:<ul><li>A+B+C+D = ABCD (= 70)</li><li>A+B+C = ABC (= 65)</li><li>A+B = AB (= 40)</li><li>B+C = BC (= 52)</li></ul>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.

Solve

Solution Stats

86 Solutions
30 Solvers

Last Solution submitted on Oct 16, 2020

Last 200 Solutions

Problem Recent Solvers30

Problem Tags

age algebra inputname linear matrix nargin non-symmetric riddle sum varargin

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 42383. Combined Ages 3 - Non-symmetric, n ≥ 3

Solution Stats

Last 200 Solutions

Problem Recent Solvers30

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 42383. Combined Ages 3 - Non-symmetric, n ≥ 3

Solution Stats

Last 200 Solutions

Problem Recent Solvers30

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players