SOLUTION: David is 3 years older than his brother in 2 years the sum of thier ages will be 19. How old are David and his brother?

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Question 547231: David is 3 years older than his brother in 2 years the sum of thier ages will be 19. How old are David and his brother?
Answer by mathie123(224) About Me  (Show Source):
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Let d be the age of David now and b be the age of his brother now.
From the given information we have:
b%2B3=d (1)
and
%28d%2B2%29%2B%28b%2B2%29=19 (2)
Substituting (1) into (2)
%28b%2B3%2B2%29%2B%28b%2B2%29=19
2b%2B7=19
2b=19-7
2b=12
%282b%29%2F2=%2812%29%2F2
b=6
Using (1) we get that
d=6%2B3
d=9
Therefore David is 9 and his brother is 6.