Question

Question 97

Solve the following:

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Answer 1

Let the present age of B be x yr.
Then, the present age of A=(x+5) yr
Five years ago, age of A =x+5-5=x yr
and age of B=(x-5) yr
According to the question,
$\frac{x}{x-5}=\frac{3}{2}\Rightarrow 2x=3(x-5)\Rightarrow 2x=3x-15\Rightarrow 3x-2x=15\therefore x=15$
Hence, the present age of B is 15 yr and the present age of A is (15+5). i.e. 20yr.