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      Question

      Present average age of Alice and Bob is 18 years and

      present age of Charlie is 3 years more and 7 years less than the present age of Alice and Bob, respectively. Find the present age of Charlie.
      A 16 years Correct Answer Incorrect Answer
      B 15 years Correct Answer Incorrect Answer
      C 14 years Correct Answer Incorrect Answer
      D 17 years Correct Answer Incorrect Answer
      E 13 years Correct Answer Incorrect Answer

      Solution

      Let the present age of Bob be 'x' years So, present age of Alice = {(18 X 2) - x} = (36 - x) years Now, according to the data given: 36 - x + 3 = x - 7 Or, 2x = 36 + 3 + 7 Or, 2x = 46 Or, x = 23 Present age of Charlie = (x - 7) = (23 - 7) = 16 years

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