Question

If 13 years are reduced from Rakesh's present age and the remainder is divided by 20, then his granddaughter Akhila's present age is attained. If Akhila's age is 4 years less than the age of Mohan, whose age is 8 years, then how old is Rakesh?
1. 90 Years
2. 94 Years
3. 92 Years
4. 93 Years

Answer 1

Correct Answer - Option 4 : 93 Years

Given:

Mohan's age = 8 years

Calculation:

Let,

Rakesh's present age = x

Akhila's present age = y

According to Question,

\( {{x - 13} \over 20} = y\)      ----(1)

and,

y + 4 = 8     

y = 4 years      ----(2)

Substituting value of y in (1)

\( {{x - 13} \over 20} = 4\)

⇒x - 13 = 80

x = 93 

∴ Rakesh's present age = 93 years