Multiple choice

What is the present age of A? Statement I: The ratio of the present age of A and B is 2:3. After 10 years, the ratio of the ages of B and C is 2:1. Statement II: 5 years ago the average age of A, B, C is 11 years, and after 3 years, the average age of B and C is 18 years.

  1. Statement I is sufficient to answer the question.

  2. Statement II is sufficient to answer the question.

  3. Either Statement I or statement II is sufficient to answer the question.

  4. Neither Statement I nor statement II is sufficient to answer the question.

  5. Both Statements I and II are necessary to answer the question.
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B Correct answer
Explanation

Statement II: 5 years ago, average age of A, B, C is 11. Total age 5 years ago = 33. Current total = 33 + 15 = 48. After 3 years, average of B and C is 18. Total age after 3 years = 36. Current total of B + C = 36 - 6 = 30. Therefore, current age of A = Total (A+B+C) - (B+C) = 48 - 30 = 18. Statement II alone is sufficient. Statement I only gives ratios but no actual values, making it insufficient to find absolute ages.

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