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The average age of Mithun, his wife, and their 3 children is 20.2 years. His wife is 3 years younger than him and she was 25 years old when his elder son was born. Mithun was 36 years old when his youngest son was born. They have a daughter whose age is average of her two brothers. Find the average age of Mithun, his wife and his daughter.

The average age of Mithun, his wife, and their 3 children is 20.2 years. His wife is 3 years younger than him and she was 25 years old when his elder son was born. Mithun was 36 years old when his youngest son was born. They have a daughter whose age is average of her two brothers. Find the average age of Mithun, his wife and his daughter. Correct Answer 28.33 years

The average age of the family of 5 persons is 20.2 years.

Total age of five people = 20.2 × 5 = 101 years

Wife of Mithun is 3 years younger to him.

Let the age of Mithun be x.

Age of his wife = x – 3

Age of his youngest son = x – 36

Age of his eldest son = x – 3 - 25 = x - 28

Age of his daughter = {(x - 36) + (x – 28)} ÷ 2

⇒ x – 32

sum of the ages of all five people is 101

⇒ x + (x – 3) + (x – 36) + (x – 28) + (x – 32) = 101

⇒ 5x – 99 = 101

⇒ x = 40

Average of age of Mithun, his wife and his daughter = {x + (x – 3) + (x – 32)} ÷ 3

⇒ (40 + 37 + 8) ÷ 3 = 85 ÷ 3

⇒ 28.33 years

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