WBCS.LIVE practice question

Ten years ago, A's age was exactly half of B's age. If the ratio of their present ages is 3:4, what is the sum of their present ages?

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

Answer options

  1. 25 years
  2. 30 years
  3. 35 years
  4. 40 years

Correct answer and explanation

Correct answer: 35 years

Explanation: ✅ Correct Answer: C) 35 years 📚 Explanation: Let the present ages of A and B be 3x and 4x. Ten years ago, their ages were (3x - 10) and (4x - 10). According to the condition: 3x - 10 = (4x - 10) ÷ 2. Multiplying by 2 gives 6x - 20 = 4x - 10. Solving this gives 2x = 10, meaning x = 5. A's age is 15 and B's age is 20. Their sum is 15 + 20 = 35 years.