SOLUTION: the present age of a man is 3 times that of his son 6 years ago, the age of the man was 4 times that of his son. the ratio of their ages 6 years later will be?

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Question 497414: the present age of a man is 3 times that of his son 6 years ago, the age of the man was 4 times that of his son. the ratio of their ages 6 years later will be?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = man's age now
Let s = Son's age now
given:
(1) +m+=+3s+
(2)+m+-+6+=+4%2A%28s+-+6%29+
------------------
By substitution,
(2) +3s+-+6+=+4s+-+24+
(2) +s+=+24+-+6+
(2) +s+=+18+
and, since
(1) +m+=+3s+
(1) +m+=+3%2A18+
(1) +m+=+54+
In 6 years,
+%28+m+%2B+6+%29+%2F+%28+s+%2B+6+%29+=+60%2F24+
+60%2F24+=+5%2F2+
The ratio of their ages in 6 years will be 5/2