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      Question

      The present ages of A and B are in the ratio 5 : 7. Six

      years from now, the ratio of their ages will become 3 : 4. What is B’s present age?
      A 22 yrs Correct Answer Incorrect Answer
      B 32 yrs Correct Answer Incorrect Answer
      C 42 yrs Correct Answer Incorrect Answer
      D 58 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let present ages of A and B be 5x and 7x respectively. After 6 years: A’s age = 5x + 6 B’s age = 7x + 6 Given that the ratio then becomes 3 : 4, (5x + 6) / (7x + 6) = 3 / 4 Cross-multiplying: 4(5x + 6) = 3(7x + 6) 20x + 24 = 21x + 18 21x − 20x = 24 − 18 x = 6 B’s present age = 7x = 7 × 6 = 42

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