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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 = 62

    Or, P2 + Q2 - 2PQ = 36

    Or, P2 + Q2 - 2 X 5 = 36

    So, P2 + Q2 = 36 + 10 = 46

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