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      Question

      The ratio of the present ages of ‘A’ and ‘B’ is

      8:7, respectively. Four years hence from now, the age of ‘B’ will be 18 years. If the average of present ages of ‘A’, ‘B’ and ‘C’ is 22 years, then find the present age of ‘C’.
      A 32 years Correct Answer Incorrect Answer
      B 30 years Correct Answer Incorrect Answer
      C 36 years Correct Answer Incorrect Answer
      D 33 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘A’ and ‘B’ be 8x years and 7x years, respectively Therefore, 7x + 4 = 18 Or, 7x = 14 Or, x = 2 Sum of present ages of ‘A’ and ‘B’ = 8x + 7x = 30 years Sum of present ages of ‘A’, 'B’ and ‘C’ = 22 × 3 = 66 years Therefore, present age of ‘C’ = 66 – 30 = 36 years

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