Question

the age of a mother is 30 years more than the age of her only son. If the sum of their ages is 66 .find the age of mother and her son

Answer 1

We need to recall the basic rule of addition.

Given:

The age of a mother is $30$ years more than the age of her son.

The sum of ages is $66$ years.

Let $x$ years be the age of a son.

Then, the mother's age is $(x+30)$ years.

So,

$x+(x+30)=66$

$2x+30=66$

$2x=66-30$

$2x=36$

$x=\frac{36}{2}$

$x=18$

Thus, the age of the son is  $18$ years.

Hence, the mother's age is,

$=18+30$

$=48$ years

 

Answer 2

Given: mother age is $30$ years more than the age of her only son.

Find: Find the age of mother and her son

According to the question

Let the ag of son be $x$

Mother age $=30+x$

Sum of there age is $66$

$x+30+x=66$

$2x=36$

$x=18$

So son age is $18$

Mother age $x+30=18+30$

$=48$