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      Question

      The mean of three distinct numbers is 30. If the third

      number is to the combined total of the first two numbers in the ratio 16:29, what is the sum of the first two numbers?
      A 58 Correct Answer Incorrect Answer
      B 49 Correct Answer Incorrect Answer
      C 55 Correct Answer Incorrect Answer
      D 46 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let 1st, 2nd and 3rd numbers be ‘A’, ‘B’ and ‘C’, respectively Sum of all three numbers = 3 × 30 = 90 Given, C:(A + B) = 16:29 So, A + B = {29/(16 + 29)} × 90 = 58

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