A father said to his daughter, "I was of your present age when you were born". If the father is 62 years of age today, how old his daughter 5 years ago?

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  1. 30 years
  2. 26 years
  3. 27 years
  4. 28 years

Answer (Detailed Solution Below)

Option 2 : 26 years
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Given:

Father's age today = 62

Let daughter's current age = D

Father's age when daughter born = D

Age difference = 62 - D

Since the age difference is constant and the father was D years old when the daughter was born (age 0):

D = 62 - D

⇒ 2D = 62

⇒ D = 31 (daughter's current age)

Daughter's age 5 years ago = 31 - 5 = 26

Daughter was 26 years old 5 years ago.

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