SOLUTION: Ben is seven more than two times as old as Henry. In 13 years the sum of their ages will be 78. How old is Ben now?

Question 721268: Ben is seven more than two times as old as Henry. In 13 years the sum of their ages will be 78. How old is Ben now?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Ben's age now
Let = Henry's age now
= Ben's age in 13 yrs
= Henry's age in 13 yrs
given:
(1)
(2)
-------------------------------
(2)
(2)
and
(1)
----------------
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
-------------
Ben is 37 now
check answer:
(2)
(2)
(2)
(2)
OK

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