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      Question

      The sum of two numbers is 30 while the difference

      between these two numbers is 6. What is 50% of the product of the two numbers?
      A 120 Correct Answer Incorrect Answer
      B 108 Correct Answer Incorrect Answer
      C 90 Correct Answer Incorrect Answer
      D 140 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be ‘x’ and ‘y’ where x < y. Then, according to the question, y – 6 = x Or, y = x + 6 So, x + y = x + (x + 6) = 30 Or, 2x = 30 – 6 Or, x = (24/2) = 12 So, y = 12 + 6 = 18 Product of the two numbers = 18 × 12 = 216 50% of 216 = (216 × 0.5) = 108

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