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      Question

      The ratio of the present age of A to B is 5:7. After 6

      years, the sum of their ages will be 72 years. Find the present age of A.
      A 24 years Correct Answer Incorrect Answer
      B 25 years Correct Answer Incorrect Answer
      C 32 years Correct Answer Incorrect Answer
      D 34 years Correct Answer Incorrect Answer

      Solution

      Let the present age of A be 5x and the present age of B be 7x. After 6 years, their ages will be (5x + 6) and (7x + 6). The sum of their ages after 6 years = 72, so: (5x + 6) + (7x + 6) = 72, 12x + 12 = 72, 12x = 60, x = 5. Present age of A = 5x = 5 Γ— 5 = 25 years.

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