SOLUTION: Tony's 17 years old and his father is 50 years old. How many years ago when his father was 4 times Tony's age?

Question 1028358: Tony's 17 years old and his father is 50 years old. How many years ago when his father was 4 times Tony's age?
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
.
Tony's 17 years old and his father is 50 years old. How many years ago when his father was 4 times Tony's age?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = How many years ago . . . 

At that time . . . 
   Tony was 17-x, and his father was 50-x years old.

The condition says 

4*(17 - x) = 50-x.

4*17 - 4x = 50 - x,

68 - 4x = 50 - x,

68 - 50 = 4x - x,

3x = 18,

x = 6.

Answer. It happened 6 years ago.

Check it yourself.

RELATED QUESTIONS
tony's age is 17 and his father's age is 50. How many years ago was the father four times (answered by addingup)

A father is 51 years old and his son is 19. How many years ago was the father 5 times his (answered by greenestamps,josgarithmetic)

Kate’s father is 50 years old and Kate is 24 years old now. How many years ago was... (answered by ikleyn)

Tom's age is 17 and his father's age is 50 . how many years ago was the father four times (answered by ankor@dixie-net.com)

Tony is half his father Simon's age. In 10 years, Tony will be three-fifths Simon's age.... (answered by rothauserc)

A father is twice as old as his son. He was 6 times his son�s age 20 years ago. What is... (answered by Cromlix)

A father is twice as old as his son. He was 6 times his son�s age 20 years ago. What is... (answered by Boreal,Alan3354)

A father is 51 years old and his son is 19. How many years ago was the father 5 times his (answered by josgarithmetic)

In ten years, Zachary will be half his father�s age. If his father was 25 years old when... (answered by mananth)