Question

Shalin's mother is thrice the age of Shalin. After $5$ years, the ratio of their ages will be $5:2$. Find their present ages.

Answer 1

Let Sharlin's present age is $x$ years.

Then by the problem Sharlin's mother age is $3x$ years.

After $5$ years Sharlin's age will be $x+5$ yeas and that of her mother will be $3x+5$.

According to the problem,

$\frac{3x+5}{x+5}=\frac{5}{2}$

or, $6x+10=5x+25$

or, $x=15$.

So, Sharlin's age is $15$ years and her mother's age is $45$ years.