Problem 42382. Combined Ages 1 - 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>You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For example: If the ages of Alex and Barry sum to 43, the ages of Alex and Chris sum to 55, and the ages of Barry and Chris sum to 66, 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>For this problem, we'll assume that the three individuals are represented by A, B, and C, whereas the sums are AB, AC, and BC:</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 (= 43)</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+C = AC (= 55)</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 (= 66)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>As you might have noticed, this is a simple matrix algebra problem. Write a function to return the individuals' ages [A;B;C] based on the supplied sums [AB AC BC].</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>"}]}

Solve

Solution Stats

271 Solutions
119 Solvers

Last Solution submitted on Jun 16, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Jean-Marie Sainthillier on 17 Jun 2015

Barry and Chris (not Alex and Chris)

goc3 on 17 Jun 2015

Thanks for the catch. I've updated the explanation.

Problem Recent Solvers119

Problem Tags

age algebra linear matrix riddle sum

Community Treasure Hunt

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

Start Hunting!

Problem 42382. Combined Ages 1 - Symmetric, n = 3

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers119

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 42382. Combined Ages 1 - Symmetric, n = 3

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers119

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players