SOLUTION: A father is now three times as old as his son. 12 years ago he was six as old as his son. find the present age.

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Question 509739: A father is now three times as old as his son. 12 years ago he was six as old as his son. find the present age.

Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Present age of Father = f
Present age of Son = s
Father is now three times as old as his son
f=3s..............(1)
12 years ago means we have to subtract 12 from their present ages
f-12=s-12
then, he was six (times?) as old as his son
f-12=6(s-12)
f-12=6s-72
f=6s-72+12
f=6s-60................(2)
Put the value of f from (1) to (2)
3s=6s-60
3s-6s=-60
-3s=-60
Divide by -3 both sides of the equation
-3s/-3=-60/-3
s=20
Put the value of s in (1)
f=3s
f=3*20
f=60
Present age of Father = f = 60 years old
Present age of Son = s = 20 years old