Question

Anant's father is 26 years younger than Anant's grandfather and 29 years older than Anant the sum of the ages of all three is 135 years what is the age of each of them?

Answer 1

Step-by-step explanation:

Let age of Anamt's father age be x years

∴ anant's age and his grandfather's age ⇒(x−29) and (x+26) yrs respectively.

As per the question, Sum of ages of 3 people =135 years

∴x+x−29+x+26=135

3x−3=135

Transpose 3 to RHS, we will get,

3x=138

Divides both sides by 3, we will get

x=3138

⇒x=46

Anants father age =x=46 years

Anant's age =x−29=46−29=17 years

Anant's grandfather's age =x+26=46+26=72 years

Answer 2

Let, age of anant's father is x

by the given condition, we have,

Age of anant's grandfather = x + 26

Age of anant = x -29

their sum is 135 years,

hence, x + x + 26 + x -29 = 135

3x - 3 = 135

3(x-1) = 135

x-1 = 135/3

x-1 = 45

x = 45+1

x = 46

Age of father is 46 years

age of grandfather is 46 + 26 = 72 years

Age of anant is 46-29 = 17 years.