SOLUTION: Christa is 7 years younger than Mark. 5 years hence, the sum of their ages will be 31. How old is each?

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Question 1010167: Christa is 7 years younger than Mark. 5 years hence, the sum of their ages will be 31. How old is each?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call their ages NOW, c and m. We have
c = m - 7 and
(c + 5) + (m + 5) = 31
Substitute and get
(m - 7 + 5) + (m + 5) = 31
2m + 3 = 31
2m = 28
m = 14
c = 7