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      Question

      The present ages of 'P', 'Q' and 'R' are in the ratio

      2:5:7. The age difference between 'P' and 'R' is 20 years. After 'm' years, age of 'Q' will be 50% more than that of 'P'. Find the value of 'm'.
      A 10 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the present ages of P, Q and R be 2x, 5x and 7x years respectively.

      ATQ,

      7x - 2x = 20

      So, x = 4

      Present age of P = 2x = 2 Ă— 4 = 8 years

      Present age of Q = 5x = 5 Ă— 4 = 20 years

      ATQ,

      (8 + m) Ă— 1.5 = (20 + m)

      12 + 1.5m = 20 + m

      So, 1.5m - m = 8

      => 0.5m = 8

      => m = 16

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