SOLUTION: Gary is today 5 times as old as Joan. Two years later, he will be 4 times as old as Joan. How old is Joan today?

Question 760574: Gary is today 5 times as old as Joan. Two years later, he will be 4 times as old as Joan. How old is Joan today?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Gary's age now
Let = Joan's age now
= Gary's age in 2 years
= Joan's age in 2 years
----------------------------
(1)
(2)
-----------------------
(2)
(2)
By substitution:
(2)
(2)
and, since
(1)
(1)
(1)
Joan is 6 years old
check:
(2)
(2)
(2)
(2)
OK

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