# Grandfather is #15# time the age of his grandson today, in #10# years the grandson will be #3/17# the age of the grandfather. How old are the grandfather and grandson?

##
Grandfather is #15# time the age of his grandson today, in #10# years the grandson will be #3/17# the age of the grandfather. How old are the grandfather and grandson?

##### 1 Answer

Apr 19, 2016

Today Grandfather is 75 years old, Grandson is 5 years old.

#### Explanation:

Let

We are told that Grandfather is 15 times the age of the Grandson today

Therefore:

We are also told that in 10 years the Grandson will be

Therefore:

Substituting (1) in (2)

Substituting for GS in (1)