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A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, then what is the present age of the wife?

60 years
51 years
48 years
45 years

Correct Answer: 45 years

Explanation:

Suppose age of son = P years
Age of the man = 4P years
Age of man's wife = 4P – 3 years
According to the question,
After 3 years, age of son + 3 years = 15
P + 3 = 15
∴ P = 15 – 3 = 12 years
Now, age of wife = 4P – 3 years
age of wife = 4 × 12 – 3 years
age of wife = 48 – 3 years
age of wife = 45 years

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