Question

Rohan is 26 year younger to his father.the father is younger to rohan's grandfather.if sum of the three is 84 years,what is the age of the father?

Answer 1

question is -----> Rohan is 26 years younger to his father the father is 20 years younger to rohans grandfather if sum of three is 84 years what is the age of father ?

solution :- Let Rohan's age = x years
Rohan's father age = y years
and Rohan's grandfather age = z years

A/C to question,
Rohan is 26 years younger to his father.
e.g., y = x + 26 .......(i)

Rohan's father is 20 years younger to Rohan's grandfather.
e.g., z = 20 + y ........(ii)

and sum of three = 84 years
e.g., x + y + z = 84 .........(iii)

from equations (i) and (ii),
z = 20 + y = 20 + (x + 26) = 46 + x

now, x + y + z = 84
x + x + 26 + x + 46 = 84
3x + 72 = 84
3x = 12 => x = 4 years

y = x + 26 = 4 + 26 = 30 years

z = y + 20 = 30 + 20 = 50 years

hence, age of father is 30 years.

Answer 2

In the complete question it is given that Rohan's father is 20 years younger than his grandfather.

Let Rohan's age be x

Therefore, age of Rohan's father will be x+26

Likewise, the age of Rohan's grandfather who is 20 years older than Rohan's father is x+46

Now, we know that the sum of the three ages is 84. This can be written as:

$x+(x+26)+(x+46)=84$

$\therefore 3x+72=84$

$\therefore 3x=84-72=12$

$\therefore x=4$

Thus, Rohan's father's age is : $x+26=4+26=30$