The ages of Anand (A) and Sujeet (S) are in the ratio 6 : 5. What is Anand’s age? I. The ages of Anand and Sandeep are in the ratio 10 : 7. II. After 5 years, A and S will be in the ratio 7 : 6.

Difficulty: Medium

Correct Answer: Statement II alone is sufficient; Statement I alone is not

Explanation:

Introduction / Context:
Baseline in the question: A : S = 6 : 5 (at present). Determine A.

Reasoning:

With II: (A + 5) : (S + 5) = 7 : 6 and A : S = 6 : 5 ⇒ Let A = 6k, S = 5k. Then (6k + 5)/(5k + 5) = 7/6 ⇒ 36k + 30 = 35k + 35 ⇒ k = 5 ⇒ A = 30. Thus II alone (with the given base ratio) is sufficient.
I adds the ratio A : Sandeep = 10 : 7, which is irrelevant to fixing k.

Final Answer:
Statement II alone is sufficient; Statement I alone is not.

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