SOLUTION: a father is 30 years older than his son. in 12 years, the father will be twice as old as his son. find their present ages.

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Question 500138: a father is 30 years older than his son. in 12 years, the father will be twice as old as his son. find their present ages.

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 30 years older than his son means if we add 30 years to the son's age father and so will be of same age
f=s+30............(1)
In 12 years, means we have add 12 in present ages of both
f+12=s+12
then
the father will be twice as old as his son
f+12=2(s+12)
f=2s+24
f=2s+24-12
f=2s+12 .......(2)
Put the value of f from (1) to (2)
s+30=2s+12
s=2s+12-30
s=2s-18
s-2s=-18
-s=-18
Multiply by (-1) both sides of the above equation
s=18
Put the value of s in (1)
f=s+30
f=18+30
f=48
Present age of father = 48
Present age of son = 18