SOLUTION: Nick's age is 1/7 of his father's age. His father will be 61 years old in 5 years. In how many years will Nick's age be in 1/5 of his father's age?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Nick's age is 1/7 of his father's age. His father will be 61 years old in 5 years. In how many years will Nick's age be in 1/5 of his father's age?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1141035: Nick's age is 1/7 of his father's age. His father will be 61 years old in 5 years. In how many years will Nick's age be in 1/5 of his father's age?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This part is not right:

----
In how many years will Nick's age be in 1/5 of his father's age?
----

Did you mean, In how many years will Nick be 1%2F5 of his father's age?


--------
Nick's age is 1/7 of his father's age. His father will be 61 years old in 5 years.
--------

Ages n and 7n, Nick and Father.
7n%2B5=61
-
7n=61-5
7n=56
highlight_green%28n=8%29
-
Currently, Nick is 8 years old, and his father is 56 years old.


How many more years until Nick is one-fifth the age of his father?
8%2Bx=%281%2F5%29%2856%2Bx%29
-
40%2B5x=x%2B56
4x=56-40
4x=16
highlight%28x=4%29
-
answer: In 4 more years.