Question
The question consists of two statements numbered “I
and II” given below it. You have to decide whether the data provided in the statements are suicient to answer the question. Four friends—P, Q, R, and S—are being considered. The age difference between P and Q is 5 years. The current age ratio of R to Q is 3:5. Determine the current age of P. Statement I: The average of the current ages of P, Q, and S is (83/3) years. Statement II: S is currently 28 years old. In five years, the ratio of the ages of Q to P will be 7:6.Solution
ATQ,
Assume the current age of R = 3x years Current age of Q = 5x years Current age of P = either 5x – 5 or 5x + 5 Statement I: The information provided in Statement I alone is not enough to determine the answer. Statement II: The current age of S is 28 years. In five years, the ratio of Q's age to P's age will be 7:6. This implies that Q is older than P. (5x + 5) : [(5x – 5) + 5] = 7 : 6 => 30x + 30 = 35x => 5x = 30 => x = 6 Thus, Present age of P = (6 × 5) – 5 = 25 years Hence, the data in Statement II alone is sufficient to answer the question.
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