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      Question

      The ratio of the present ages of β€˜A’ and β€˜B’ is

      11:9, respectively. After 5 years, the ratio of their ages will become 12:10. The sum of the present ages of β€˜A’ and β€˜B’ is:
      A 110 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer
      E 80 Correct Answer Incorrect Answer

      Solution

      Let the present ages of β€˜A’ and β€˜B’ be β€˜11x’ and β€˜9x’ years, respectively ATQ; (11x + 5)/(9x + 5) = 12/10 Or, 110x + 50 = 108x + 60 Or, 2x = 10 Or, x = 5 Now, sum of present ages of β€˜A’ and β€˜B’ = 11 Γ— 5 + 9 Γ— 5 = 100

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