SOLUTION: A man is 10 years older than his son. In ten years, he will be twice as old as his son will then be. How old is each

Algebra.Com
Question 414240: A man is 10 years older than his son. In ten years, he will be twice as old as his son will then be. How old is each
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
A man is 10 years older than his son.
What??? The man became a father at age 10?????

Surely you miscopied the problem.

In ten years, he will be twice as old as his son will then be.
How old is each.
If that were the bizarre case, then

son's age now = x
father's age now = x + 10

son's age in 10 years = x + 10
father's age in 10 years = (x + 10) + 10 or x + 10 + 10 or x + 20

So 

x + 20 = 2(x + 10)

x + 20 = 2x + 20

    -x = 0

     x = 0

son's age now = x = 0
father's age now = x + 10 = 0 + 10 = 10

So the 10-year old boy just became a father, for the baby is
0 years old (just born).  And in ten years the 10-year-old boy 
father will be 20 years old and the son will be 10.

That works, but surely the problem is botched.

Edwin
RELATED QUESTIONS

a man is 20 years older than his son. In ten years, He will be twice as old as his son... (answered by mananth)
A MAN IS 20 YEARS OLDER THAN HIS SON. IN 10 YEARS HE WILL BE TWICE AS OLD AS HIS SON WILL (answered by College Student)
A man is 25 years older than his son. In 10 years he will be more than twice as old as... (answered by stanbon)
A man is 27 years old than his son. In ten years, he will be twice as old as his son. How (answered by josgarithmetic)
Mr. Lee is 27 years older than his son. In ten years,he will be twice as old as his son... (answered by ptaylor)
A man is 20years older than his ten years old son.. HOw many years will the father be... (answered by josgarithmetic)
a father is three times older than his son. in twelve years, the man will be twice as... (answered by mananth)
PLEASE I NEED IT ASAP! A man is 27 years older than his son and in 10 years, he will be... (answered by ankor@dixie-net.com)
A MAN IS 27 YEARS OLDER THAN HIS SON , AND IN 10 YEARS FROM NOW HE WILL BE TWICE AS OLD... (answered by Maths68)