Multiple choice

The 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 ?

  1. 48 years

  2. 54 years

  3. 50 years

  4. 60 years

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the son's age be x and Mr. Sanyal's be 3x. Six years later, (3x + 6) / (x + 6) = 5/2. Solving this gives 6x + 12 = 5x + 30, so x = 18. Mr. Sanyal's present age is 3 * 18 = 54.

AI explanation

Let the present age of the son be x years, so Mr. Sanyal's present age is 3x years. Six years hence, their ages will be (3x + 6) and (x + 6), which gives the equation (3x + 6) / (x + 6) = 5 / 2. Cross-multiplying yields 6x + 12 = 5x + 30, meaning x = 18. Therefore, Mr. Sanyal's present age is 3 multiplied by 18, which is 54 years.

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