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What is the ratio of the present ages of A and B? (I) The sum of their present ages is 60 years. (II) Ten years ago the ratio of their ages was 2 : 3.

Competition practiceData Sufficiency
  • ABoth statements together are needed (neither alone is sufficient)
  • BStatement I alone is sufficient but Statement II alone is not
  • CStatement II alone is sufficient but Statement I alone is not
  • DEither statement alone is sufficient

Step-by-Step Solution

Each alone is insufficient; together A + B = 60 and (A − 10) : (B − 10) = 2 : 3 give A = 26, B = 34, ratio 13 : 17.
Answer: A) Both statements together are needed (neither alone is sufficient)

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