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      Question

      The present average age of M and N is 26 years. Twelve

      years from now, N's age will be twice what M's age was 4 years ago. What is the ratio of M's present age to N's present age?
      A 2:5 Correct Answer Incorrect Answer
      B 7:5 Correct Answer Incorrect Answer
      C 6:7 Correct Answer Incorrect Answer
      D 11:10 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let present age of M and N is ‘x’ and ‘y’ years respectively.

      So, x + y = 2 × 26 = 52………………..(1)

      And, y + 12 = 2 × (x – 4)

      y + 12 = 2x – 8

      2x – y = 20

      From equation (1) we get

      2x – 52 + x = 20

      3x = 72

      x = 24

      y = 52 – 24 = 28

      Desired ratio = 24:28 = 6:7

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