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      Question

      Present age of X is 60% more than that of Y. Present age

      of Z, who is 5 years older than Y, is 25 years. After how many years from now, ratio of ages of X to Y will become 13:9?
      A 10 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Present age of Y = 25 - 5 = 20 years
      Present age of X = 1.6 × 20 = 32 years
      Let the required time be T years.
      So, (32 + T) : (20 + T) = 13 : 9
      Or, 9 × (32 + T) = 13 × (20 + T)
      Or, 288 + 9T = 260 + 13T
      Or, 4T = 28
      Or, T = 7

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