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    Question

    The square of the sum of two numbers is 784. The sum of

    squares of these numbers is 520. Find their product.
    A 140 Correct Answer Incorrect Answer
    B 192 Correct Answer Incorrect Answer
    C 132 Correct Answer Incorrect Answer
    D 170 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 'a' and 'b' ATQ: (a + b)┬▓ = 784 So, a┬▓ + b┬▓ + 2ab = 784 Also, we have, a┬▓ + b┬▓ = 520 So, 2ab = 784 - 520 = 264 So, ab = (264 ├╖ 2) = 132

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