SOLUTION: In 17 years a father will be twice as old as his son, whose age at the present time is 1/3 of his father’s age. How old is the father now?

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Question 723645: In 17 years a father will be twice as old as his son, whose age at the present time is 1/3 of his father’s age. How old is the father now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +f+ = Father's age now
Let +s+ = Son's age now
given:
(1) +s+=+%281%2F3%29%2Af+
(2) +f+%2B+17+=+2%2A%28+s+%2B+17+%29+
-------------------------
(1) +f+=+3s+
(2) +f+%2B+17+=+2s+%2B+34+
(2) +f+-+2s+=+17+
By substitution,
(2) +3s+-+2s+=+17+
(2) +s+=+17+
and, since
(1) +f+=+3s+
(1) +f+=+3%2A17+
(1) +f+=+51+
The Father is 51 now
check:
(2) +f+%2B+17+=+2%2A%28+s+%2B+17+%29+
(2) +51+%2B+17+=+2%2A%28+17+%2B+17+%29+
(2) +68+=+2%2A34+
(2) +68+=+68+
OK