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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 7:5.
      A 10 yrs Correct Answer Incorrect Answer
      B 12 yrs Correct Answer Incorrect Answer
      C 18 yrs Correct Answer Incorrect Answer
      D 24 yrs 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) = 7 : 5
      Or, 5 × (32 + T) = 7 × (20 + T)
      Or, 160 + 5T = 140 + 7T
      Or, 2T = 20
      Or, 'T' = 10 years

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