SOLUTION: I am 4 times older than my brother. In 2 years time I will be just 3 times his age. In how many years will my brother be 1/2 my age?

Question 807886: I am 4 times older than my brother. In 2 years time I will be just 3 times his age. In how many years will my brother be 1/2 my age?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = my age now
Let = my brother's age now
= my age in 2 years
= my brother's age in 2 years
Let = the number of years from now
when my brother will be 1/2 my age
= my age in years
= my brother's age in years
---------------------------------
(1)
(2)
(3)
----------------------------
This is 3 equations and 3 unknowns, so it's solvable
Substitute (1) into (2)
(2)
(2)
and, since
(1)
(1)
and
(3)
(3)
(3)
(3)
---------------
In 8 years will my brother be 1/2 my age
check:
In 8 yrs I will be
In 8 yrs my brother will be
He is half my age
OK
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