Arithmetic Aptitudes › Problems on Ages › Question #4392
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QThe present age of Mr. Sanyal is three times the age of his son. Six years hence, the ratio of their ages will be 5: 2. What is the present age of Mr. Sanyal?

ID: #4392 Problems on Ages 295 views
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  • A 48 years ✔ ✖
  • B 50 years ✔ ✖
  • C 54 years ✔ ✖
  • D 60 years ✔ ✖
Correct Answer: Option C

Explanation

Let the present age of Mr. Sanyal's son be x years.
The present age of Mr. Sanyal is three times the age of his son, which means that Mr. Sanyal's present age is 3 * x years.
Six years hence, the ages of Mr. Sanyal and his son will be (3 * x + 6) and (x + 6) years respectively.
The ratio of their ages six years hence will be (3 * x + 6) : (x + 6) = 5:2.
Solving this equation for x, we get x = 18
Substituting this value in the expression for Mr. Sanyal's present age, we get that Mr. Sanyal's present age is 3 * 18 = 54 years

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