SOLUTION: A girl is five years older than a boy. Nine years ago, the boy's age was two thirds the girl's age. The boy's age is...?

Question 826957: A girl is five years older than a boy. Nine years ago, the boy's age was two thirds the girl's age. The boy's age is...?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the girl's age now
Let = the boy's age now
-----------------
(1)
(2)
--------------------------
(2)
(2)
(2)
and
(1)
-------------------
Multiply both sides of (1) by
and add the equations
(2)
(1)

and, since
(1)
(1)
(1)
The boys age is 19
check:
(2)
(2)
(2)
(2)
OK

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