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      Question

      Present ages of 'X' and 'Y' are in ratio 7:8,

      respectively. If twelve years hence from now, age of 'X' will be 15% less than that of 'Y', then find the ratio of present ages of 'X' and 'Z' given that 'Z' is 9 years older than 'X'.
      A 5:3 Correct Answer Incorrect Answer
      B 4:7 Correct Answer Incorrect Answer
      C 7:8 Correct Answer Incorrect Answer
      D 8:9 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the present ages of 'X' and 'Y' be '7x' years and '8x' years, respectively. So, (7x + 12) = (8x + 12) X 0.85 Or, 7x + 12 = 6.8x + 10.2 Or, 0.2x = 1.8 So, x = 9 So, present age of 'X' = 7x = 7 X 9 = 63 years And present age of 'Z' = 63 + 9 = 72 years So, required ratio = 63:72 = 7:8

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