SOLUTION: Three years back the age of father was 24 years more than his son at present the father is 5 times as old as the son.how old will the son be three years from now?

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Question 628569: Three years back the age of father was 24 years more than his son at present the father is 5 times as old as the son.how old will the son be three years from 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
+f+-+3+ = Father's age 3 years ago
+s+-+3+ = Son's age 3 years ago
+s+%2B+3+ = Son's age 3 years from now
------------
given:
(1) +f+-+3+=+s+-+3+%2B+24+
(2) +f+=+5s+
------------
Substitute (2) into (1)
(1) +5s+-+3+=+s+-+3+%2B+24+
(1) +4s+-+3+=+-3+%2B+24+
(1) +4s+=+24+
(1) +s+=+6+
and
(2) +f+=+5s+
(2) +f+=+30+
------------
+s+%2B+3+=+6+%2B+3+
+s+%2B+3+=+9+
Three years from now, the Son will be 9
check:
(1) +f+-+3+=+s+-+3+%2B+24+
(1) +30+-+3+=+6+-+3+%2B+24+
(1) +27+=+3+%2B+24+
(1) +27+=+27+
and
(2) +f+=+5s+
(2) +30+=+5%2A6+
(2) +30+=+30+
OK