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      Question

      The ratio of the number of red balls to blue balls in a

      bag is 5:8. If the product of the number of red balls and blue balls is 36000, then find the difference between the number of blue balls and red balls.
      A 150 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 180 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number of red balls and blue balls be ‘5x’ and ‘8x’, respectively. According to the question, 5x × 8x = 36000 Or, 40x² = 36000 Or, x² = 900 Or, x = 30 (Since, ‘x’ cannot be negative in this case) Required difference = 8x – 5x = 3x = 3 × 30 = 90

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