Question

The difference between the ages of a woman and her son is $19$ years and the sum of their ages is $37$years. Find the age of the son.

Answer 1

Let age of son$=x$ years

The age of woman$=x+19$

$\therefore x+x+19=37$

$\Rightarrow 2x+19=37$

$\Rightarrow 2x=37-19=18$

$\Rightarrow x=\frac{18}{2}=9$

$\therefore$Age of son$=9$ years.