SOLUTION: Ben and Bob are brothers. Seven years ago Bob was twice as old as Ben. In fourteen years, Ben will be 4/5th the age of Bob. How old are Ben and Bob now?

Question 728956: Ben and Bob are brothers. Seven years ago Bob was twice as old as Ben. In fourteen years, Ben will be 4/5th the age of Bob. How old are Ben and Bob now?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Bob's age now
Let = Ben's age now
= Bob's age 7 yrs ago
= Ben's age 7 yrs ago
= Bob's age in 14 yrs
= Ben's age in 14 yrs
-----------------------------
given:
(1)
(2)
----------------------------
(1)
(1)
and
(2)
(2)
(2)
-------------------
Multiply both sides of (1) by
and add the equations
(1)
(2)

and
(1)
(1)
(1)
(1)
--------------
Bob is 21 and Ben is 14
check:
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK

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