Two years ago, a mother was four times as old as her daughter. 8 years later, mother's age will exceed her daughter's age by 12 years. The ratio of the present ages of mother and daughter is?

3 : 1
4 : 1
3 : 2
5 : 1

Correct Answer: 3 : 1

Explanation:

Let the mother's age 2 years ago be 4x and daughter's age 2 years ago be be x.
∵ (4x + 8) - (x + 8) = 12
⇒ 3x = 12
⇒ x = 4
∴ Mother's present age = 4x + 2 = 18 years
and daughter's present age = x + 2 = 6 years
∴ Required ratio = 3 : 1

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