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      Question

      The ratio of two numbers A and B is 9:19 and C is 60% of

      the average of the numbers A and B. If the sum of A, B and C is 182, then what is the value of A?
      A 54 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer
      E 24 Correct Answer Incorrect Answer

      Solution

      Let the number A and B are 9y and 19y respectively.
      C = 60% of (9y + 19y)/2 = 8.4y
      Now,
      Sum of A, B and C = 182
      9y + 19y + 8.4y = 182
      36.4y = 182
      y = 5
      Hence, the value of A = 9*5 = 45

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