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      Question

      The ratio of the present ages of β€˜X’ and β€˜Y’ is

      7:5, respectively. After 10 years, the ratio of their ages will become 9:7. The sum of the present ages of β€˜X’ and β€˜Y’ is:
      A 80 Correct Answer Incorrect Answer
      B 60 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 70 Correct Answer Incorrect Answer

      Solution

      Let the present ages of β€˜X’ and β€˜Y’ be β€˜7x’ and β€˜5x’ years, respectively ATQ; (7x + 10)/(5x + 10) = 9/7 Or, 49x + 70 = 45x + 90 Or, 4x = 20 Or, x = 5 Now, sum of present ages of β€˜X’ and β€˜Y’ = 7 Γ— 5 + 5 Γ— 5 = 60

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