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      Question

      If the difference between two numbers is 4 and their

      product is 45, what is the sum of their squares?
      A 100 Correct Answer Incorrect Answer
      B 106 Correct Answer Incorrect Answer
      C 125 Correct Answer Incorrect Answer
      D 137 Correct Answer Incorrect Answer

      Solution

      Let the numbers be x and y Given: x - y = 4 and xy = 45 Now, (x - y)^2 = x² + y² - 2xy 16 = x² + y² - 90 x² + y² = 106

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