The average age of a man and his son is 45 years. The ratio of their age is 2 ∶ 1, respectively. What is the age of the man and his son?

Question

Question

This question was previously asked in

UGC NET Paper 1: Held on 21st Oct 2022 Shift 2

Answer 1

Solution:

Let's assume the age of the man as x, and the age of his son as y.

As the average age of a man and his son is 45 years,

i.e., (x+y)/2 = 45

⇒ x+y = 90-----(1)

and the ratio of their age is 2:1, respectively

i.e., x/y = 2/1 -----(2)

From equation (2), we get:

x = 2y

Substituting x = 2y in equation (1), we get:

2y + y = 90

⇒ 3y = 90

⇒ y = 30

Substituting y = 30 in x = 2y, we get:

x = 2 * 30 = 60

Therefore, the man is 60 years old and his son is 30 years old.