Q: If a person's present age is two-fifths of the age of their mother and they will be one-half of their mother's age after 8 years, how old is the mother currently?

A 32 years
B 36 years
C 40 years
D 47 years

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Answer: C

Explanation:

At present, the person's age is one-half of their mother's age plus 8 years. The mother's current age can be represented as x. The person's current age is 2/5x. In 8 years, the person will be 1/2x + 8 years old. Since the person's current age is 2/5x and in 8 years they will be 1/2x + 8 years old, the mother's current age is x. 2/5x = 1/2x + 8 This simplifies to x = 40 years old.

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Q: If a person's present age is two-fifths of the age of their mother and they will be one-half of their mother's age after 8 years, how old is the mother currently?

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