SOLUTION: a father is older than his son by 32 years.6 years ago the father was 17 times as old as his son.how old are they now?

Question 157676: a father is older than his son by 32 years.6 years ago the father was 17 times as old as his son.how old are they now?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a father is older than his son by 32 years.6 years ago the father was 17 times as old as his son.how old are they now?
.
Let x = son's current age
then from: "a father is older than his son by 32 years"
x+32 = father's current age
.
To derive our equation, we use "6 years ago the father was 17 times as old as his son"
(x+32)-6 = 17(x-6)
x+32-6 = 17x-102
x+26 = 17x-102
x+128 = 17x
128 = 16x
8 years = x (son's age)
.
Father's age:
x+32 = 8+32 = 40 years
RELATED QUESTIONS
A father is 7 times as old as his son.2 years ago the father was 13 times as old as his... (answered by checkley71)

A father is 32 years older than his son. In 4 years the father will be 5 times as old as... (answered by sudhanshu_kmr)

a father is 32 years older than his son. in 4 years the father will be 5 times as old as... (answered by CubeyThePenguin)

a father is 30 years older than his son. three years ago he was four times as old as his... (answered by richwmiller)

A father is three times as old as his son. Six years ago he was five times as old as his... (answered by Cromlix)

Please help me to solve this word problem: A father is now 28 years older than his son.... (answered by oscargut)

A father is now 28 years older than his son. Ten years ago the father was 15 times as... (answered by fractalier)

1. The sum of two numbers is 24. One number is one third of the other. Find the number. (answered by josmiceli)

A father is thrice as old as his son. Five years ago, he was four times as old as his... (answered by rothauserc)