Question 1105782: Find the ages of Marry, George, Alice, Claire and Stephen if :
Marry + George = 33 years between them
Alice + Claire = 95 years between them
Stephen + Marry= 72 years between them
Marry + Claire = 87 years between them
Stephen + George = 73 years between them
plz Details solution of problem
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13208)   (Show Source):
You can put this solution on YOUR website!
(1) M+G=33
(2) A+C=95
(3) S+M=72
(4) M+C=87
(5) S+G=73
Equations (1), (3), and (5) give the sums of the ages of Marry, George, and Stephen two at a time. So a quick path to the answer to the problem is to add those three equations:
 (6)
Comparing (6) with (1), (3), and (5) shows that Marry is 16, George is 17, and Stephen is 56.
Then (4) tells us Claire is 71; and then (2) tells us Alice is 24.
Answers:
Marry 16
George 17
Alice 24
Claire 71
Stephen 56
Answer by josgarithmetic(39630)  (Show Source):
You can put this solution on YOUR website! You give a "+" and then said, "... years between them." This seems contradictory. If you mean SUM on both sides, then
Five linear equations in five unknown age variables. You can cut down to one equation in one variable through successive substitutions and simplifications.
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Notice two equations sum of s and g, and difference of s and g.
Revise system:
Look at what is still unknown:
Last equation in that system:
The first substitution made was .
RESULTS
Marry, George, Alice, Claire and Stephen
16, 17,  ,  , and 56
Alice should be 24 and Claire should be 71.
(Possible Mistake in Worked Steps)
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