Explanation
Solution
1. Equation Formulation:
Let the ages of Ajith, Babita, Chetu, and Das be A,B,C, and D respectively.
From the question:
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A=3B
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C=21D or D=2C
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B > C
2. Evaluating Statement I:
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C=10 yr
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Then D=2×10=20 yr
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Since B > C, we only know B > 10.
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We cannot find the exact value of B, so A cannot be determined.
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Statement I alone is not sufficient.
3. Evaluating Statement II:
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Let the "same number of years" be k.
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B=C+k
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D=C+k
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From the original data, D=2C.
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So, 2C=C+k⇒C=k.
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This means B=C+C=2C.
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However, without a numerical value for C, we cannot find B or A.
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Statement II alone is not sufficient.
4. Combining I and II:
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From Statement I: C=10 yr.
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From Statement II: B=2C (as derived above).
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Therefore, B=2×10=20 yr.
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Now, find Ajith's age: A=3B=3×20=60 yr.
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Both statements together are sufficient.
Final Answer: Option 3 is correct.
