Question

The sum of present ages of a father and his son is $8$ years more than the present age of the mother. The mother is $22$ years older than the son. What will be the age of the father after $4$ years?

• A. $34$ years
• B. $28$ years
• C. $38$ years
• D. $40$ years

Answer 1

The correct option is A $34$ years

Let present age of father and son be $x$ and $y$ respectively.
The mother is $22$ years older than the son.
$\therefore$ Mother's present age $=y+22\cdots \left(i\right)$
According to question,
$x+y=y+22+8\left(\text{Using}\right(i\left)\right)$
$\Rightarrow x=30$ years
$\therefore$ Father's present age $=30$ years
Age of father after $4$ years is $30+4=34$ years
$\therefore$ Required age of father $=34$ years