WBCS.LIVE practice question

The age of father is twice that of elder son. Ten years hence, the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, find the age of the father.

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 50 years
  2. 55 years
  3. 60 years
  4. 70 years

Correct answer and explanation

Correct answer: 50 years

Explanation: āœ… Correct Answer: A. 50 years šŸ“š Explanation: Let the Father be F, Elder son E, and Younger son Y. F = 2E and E - Y = 15, so Y = E - 15. The condition 10 years hence is (F + 10) = 3(Y + 10). Substituting the values: (2E + 10) = 3(E - 15 + 10) => 2E + 10 = 3E - 15. Solving this gives E = 25. Thus, the father's age is 2 x 25 = 50.