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      Question

      The difference between two numbers is 6, and their

      product is 5. What is the sum of the squares of these two numbers?
      A 36 Correct Answer Incorrect Answer
      B 46 Correct Answer Incorrect Answer
      C 54 Correct Answer Incorrect Answer
      D 34 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be 'P' and 'Q', such that P > Q.

      ATQ,

      P X Q = 5

      And, P - Q = 6

      (P - Q)2┬а= 62

      Or, P2┬а+ Q2┬а- 2PQ = 36

      Or, P2┬а+ Q2┬а- 2 X 5 = 36

      So, P2┬а+ Q2┬а= 36 + 10 = 46

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