Question

Mohan father is $26$ years younger than mohan grandfather and $29$ years older than mohan. The sum of the age of all the three is $135$ year. what is the age of each one of them.

Answer 1

Let mohan's father's present age be $x$ years
Given mohan's father is $29$ years older than mohan
Hence, mohan's age is $(x-29)$ years
mohan's grandfather is $26$ years older than mohan's father.
Hence, mohan's grandfathers age $=(x+26)$ years
Given sum of three ages $=135$ years
$\therefore x+(x-29)+(x+26)=135$
$\Rightarrow 3x-3=135$
$\Rightarrow 3x=135+3=138$
$\therefore x=46$
mohan's fathers age $=46$ years
mohan's grandfathers age $=(x+26)=(46+26)=72$ years
mohan's age $=(x-29)=(46-29)=17$ years