Question

Ankit's present age is three times Priyanka's. The sum of the present ages of Ankit, Priyanka and Ankit's father is 142 years. Ankit's father's present age is 13/8 that of Ankit. What is the difference between Priyanka's present age and Ankit's father's present age ?
a) 60 years b) 61 years c) 62 years d) 64 years e) 65 years

Answer 1

Answer:

(c) 62 years.

Step-by-step explanation:

Let the present age of Priyanka be "M".

given that,

Ankit's Present age is three times the Priyanka's age.

Ankit's Present age = 3M.

Ankit's father's present age is 13/8 that of Ankit.

Ankit's father's age = 13(3M)/8 = 39M/8.

And also given that, the sum of the age of three

members = 142 years.

M + 3M + 39M/8 = 142

4M + 39M/8 = 142

(32M+39M)/8 = 142

71M = 142(8)

71M = 1136

M = 1136/71

M = 16

Hence , Priyanka's age = 16 years

Ankit's age = 3(16) = 48 years

Ankit's father's age = 13(48)/8

= 78 years.

Difference between Priyanka's age and Ankit's father's age = 78 - 16

Difference = 62 years.

Therefore, the difference between the ages of Priyanka and Ankit's father = 62 years (c).