SOLUTION: Four years ago, Danielle was (2/3) as old as Jim was. Now she is (3/4) as old as he is. How old is each now?

Question 1034838: Four years ago, Danielle was (2/3) as old as Jim was. Now she is (3/4) as old as he is. How old is each now?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their ages NOW, d and j. Then we can write
d - 4 = (2/3)(j - 4) and
d = (3/4)j
Now substitute that into the first equation and get
(3/4)j - 4 = (2/3)(j-4)
Multiply everything by 12 to clear fractions...we get
9j - 48 = 8(j - 4)
9j - 48 = 8j - 32
and
j = 16 which means
d = 12
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