Question

Rahul's father is $26$ years younger than Rahul grandfather and $29$ years older than Rahul. The sum of the ages of all the three is $135$ years. What is the age of each of them?

Answer 1

Let the age of Rahul be $x$.
Then his father's age be $x+29$.
And his grandfather's age be $x+29+26$.
According the given question: $x+(x+29)+(x+29+26)=135$
$x+x+29+x+55=135$
$3x+84=135$
$3x=135-84$
$3x=51$
$x=\frac{51}{3}$
$\therefore x=17$
Thus, the age of Rahul is $x=17$ yrs,
the age of Rahul's father is $x+29=17+29$
$=46$ yrs and
the age of Rahul's grandfather is $x+29+26=17+29+26$
$=46+26=72$yrs