Question

The present age of a father is equal to the sum of the ages of his $5$ children. $12$ years hence, the sum of the ages of his children will be twice the age of their father. Find the present age of the father.

• A. $32$ years
• B. $34$ years
• C. $36$ years
• D. $38$ years

Answer 1

Answer: (C)

$36$ years

Let the ages of the 5 children now be $x$.

The age of the father now $=x$

Tweleve years hence the sume of the ages of the five children $=x+5\left(12\right)$

$=x+60$

Ages of the father twelve years hence $=x+12$

$x+60=2(x+12)$

$x+60=2x+24$

$x=36$