SOLUTION: I need help figuring this problem out please. The sum of the ages of Adam and Benjamin is 27,the sum of the ages of Adam and Catherine is 23,the sum of the ages of Benjamin and

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Question 946210: I need help figuring this problem out please.
The sum of the ages of Adam and Benjamin is 27,the sum of the ages of Adam and Catherine is 23,the sum of the ages of Benjamin and Catherine is 18.How old is Adam?
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=27
2.A%2BC=23
3.B%2BC=18
From eq. 3,
C=18-B
Substitute into eq. 2,
A%2B18-B=23
3.A-B=5
Now add eq. 1 and 3,
A%2BB%2BA-B=27%2B5
2A=32
A=16
Then,
16-B=5
B=11
and finally,
16%2BC=23
C=7