SOLUTION: A father is three times as old as his son. Six years ago he was five times as old as his son. How old are they now?
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Question 1002111: A father is three times as old as his son. Six years ago he was five times as old as his son. How old are they now?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
A father is three times as old as his son.
F = 3S....(1)
Six years ago he was five times as old as his son.
F - 6 = 5(S - 6)......(2)
Replace F in Equation(2) with 3s from
Equation (1)
3S - 6 = 5(S - 6)
3S - 6 = 5S - 30
Collect like terms:
3S - 5S = -30 + 6
-2S = -24
2S = 24
S = 12
Son is currently 12 years old.
Father is currently 36 years old.
Hope this helps :-)
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