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?

  1. 50 year
  2. 30 year
  3. 45 year
  4. 20 year
vijay Professor Asked on 6th August 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 6th August 2015.
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