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.

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.

Toppr Admin · Accepted Answer

Let the ages of the 5 children now be x-The age of the father now -xA0-xTweleve years hence the sume of the ages of the five children -xA0-x-5-12-x-60Ages of the father twelve years hence -x-12x-60-2-x-12-x-60-2x-24x-36

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.
$32$ years
$38$ years
$34$ years
$36$ 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 $= x + 5 (12)$
$= x + 60$
Ages of the father twelve years hence $= x + 12$
$x + 60 = 2 (x + 12)$
$x + 60 = 2 x + 24$
$x = 36$

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.32 years38 years34 years36 years

Let the ages of the 5 children now be x.The age of the father now =xTweleve years hence the sume of the ages of the five children =x+5(12)=x+60Ages of the father twelve years hence =x+12x+60=2(x+12)x+60=2x+24x=36

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.
$32$ years
$38$ years
$34$ years
$36$ 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 $= x + 5 (12)$
$= x + 60$
Ages of the father twelve years hence $= x + 12$
$x + 60 = 2 (x + 12)$
$x + 60 = 2 x + 24$
$x = 36$