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      Question

      Sum of the two numbers is 18, and the product of the

      numbers is 80. Find the difference between the numbers.
      A 2 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer

      Solution

      Let the numbers be 'x' and 'y' .

      So, x + y = 18

      And, xy = 80

      So, (x - y)² = (x + y)² - 4xy

      So, (x - y)² = 18² - 4 × 80

      So, (x - y)² = 324 - 320 = 4

      So, x - y = ±2

      Therefore, difference between the numbers = 2

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