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      Question

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

      7:6, respectively. Two years hence from now, the age of β€˜B’ will be 20 years. If the average of present ages of β€˜A’, β€˜B’ and β€˜C’ is 21 years, then find the present age of β€˜C’.
      A 24 years Correct Answer Incorrect Answer
      B 23 years Correct Answer Incorrect Answer
      C 27 years Correct Answer Incorrect Answer
      D 28 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of β€˜A’ and β€˜B’ be 7x years and 6x years, respectively Therefore, 6x + 2 = 20 Or, 6x = 18 Or, x = 3 Sum of present ages of β€˜A’ and β€˜B’ = 7x + 6x = 39 years Sum of present ages of β€˜A’, 'B’ and β€˜C’ = 21 Γ— 3 = 63 years Therefore, present age of β€˜C’ = 63 – 39 = 24 years

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