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The sum of the ages of mother and her daughter is 60 years. 12 years ago the mother was eight times as old as her daughter. How old is the daughter at present?
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- 20 years
- 28 years
- 16 years
- 12 years
- 20 years
Correct Option: C
Let Daughter’s present age = y years
∴ Mother’s present age = (60 – y) years
According to the question,
12 years ago, (60 – y – 12) = 8 (y – 12)
⇒ 48 – y = 8y – 96
⇒ 8y + y = 96 + 48
⇒ 9y = 144
⇒ y = 144 ÷ 9 = 16 years
