# What is the Father’s Age? If

The average age of a man and his two twin sons born on the same day is 30 yr. The ratio of the ages of father to one of his sons is 5: 2. What is the father’s age?

- 50 year
- 30 year
- 45 year
- 20 year

**Answer: (1) 50 years**

**Explanation:-**

The average age of a man and his two twin sons born on the same day = 30 yr

Then, the sum of their ages = 30 x 3

= 90 yr.

Let the age of a man be X yr & the age of his son Y yr.

Then,

X + Y + Y = 90

X +2 Y = 90 …………………………………… (1)

The ratio of the ages of father to one of his sons = 5: 2

Then, X / Y = 5 / 2

2 X = 5 Y

2 X – 5 Y = 0 ……………………. (2)

Solve equation (1) & (2) ,

Y = 20 & X = 50

Then, the age of the father’s is 50 years.

Hence, the answer is (1) 50 years.