SOLUTION: A man is now 40 years old and his son is 14 years old. A number of years from now, the father will be twice as old as his son. What is this number of years?

Algebra.Com
Question 518308: A man is now 40 years old and his son is 14 years old. A number of years from now, the father will be twice as old as his son. What is this number of years?
Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!
Man's age = 40
Sons's age = 14
Let
Number of years = x
father will be = 40 + x
Son will be = 14 + x
Twice the age of son after x years = father's age after x years
2(14+x)=40+x
28+2x=40+x
2x-x=40-28
x=12

After 12 years father will be twice as old as his son.
Check
======
Man's age = 40 +12 = 52 (which is twice of 26)
Sons's age = 14 + 12 = 26

RELATED QUESTIONS

a father is 27 years older than his son. Ten years from now the father will be twice as... (answered by Cromlix)
A man is 35 years old and his son 7 years now. In how many years will the son be half... (answered by ewatrrr)
a father is three times older than his son. in twelve years, the man will be twice as... (answered by mananth)
A father is twice as old as his son. In 20 years, the son will be 2/3 as old as his... (answered by richwmiller)
A man is 32 years old and his son is 7 years old. In how many years will the father be... (answered by checkley77)
a man is four timesaas old as his son. in 3 years, the father will be three times as old... (answered by mananth)
a man who is 42 years old has a son of 12 years old. in how many years will the father be (answered by T-Maree,MathTherapy)
2 years ago a man was 4 times as old as his son. 3 years from now the father will be 3... (answered by stanbon)
a man is 27 years older than his son and 10 years from now, he will be twice as old as... (answered by MathLover1,stanbon)