Question 1105782
<br>
(1) M+G=33
(2) A+C=95
(3) S+M=72
(4) M+C=87
(5) S+G=73<br>
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:<br>
{{{M+G+S+M+S+G = 33+72+73 = 178}}}
{{{M+S+G = 89}}} (6)<br>
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.<br>
Answers:
Marry 16
George 17
Alice 24
Claire 71
Stephen 56