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 Ages II (Posted on 2012-12-27)
Determine the ages of Mary, George, Alice, Claire and Stephen if:
1. Mary and George total 33 years between them.
2. Alice and Claire total 95 years between them.
3. Stephen and Mary total 72 years between them.
4. Mary and Claire total 87 years between them.
5. Stephen and George total 73 years between them.

 No Solution Yet Submitted by K Sengupta No Rating

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 Lineage algebra (spoiler) | Comment 1 of 2
5 simultaneous equations.

Equation 1 + Equation 3 - Equation 5
gives
Mary + Mary = 32
So Mary = 16

Substituting into Equation 1,3, and 4
gives
George = 17
Stephen = 56
Claire = 71

Substituting Claire into Equation 2 gives
Alice = 24

Final answer = {16, 17, 24, 71, 56}

It is just barely possible that Claire and Stephen are the parents of the other three.

 Posted by Steve Herman on 2012-12-27 11:01:20

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