# Renu's mother is four times as old as Renu. After 5 years, her mother will be three times as old as she will then be. How do you find their present ages?

Nov 23, 2016

Renu's present age is $10$ years and her mother's present age is $40$ years.

#### Explanation:

Let Renu's present age is $x$ years

Then her mother's present age is $4 x$ years

After 5 years , Renu's age will be $x + 5$ years

After 5 years , her mother's age will be $4 x + 5$ years

By given condition  4x+5 =3(x+5) or 4x-3x =15-5 or x=10 ; 4x=4*10=40.
Therefore, Renu's present age is $10$ years and her mother's present age is $40$ years. [ans]