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    Question

    If, ( a + b = 8 ) and ( a┬▓ + b┬▓ = 40 ), then find the

    value of (a┬│ + b┬│).┬а
    A 220 Correct Answer Incorrect Answer
    B 224 Correct Answer Incorrect Answer
    C 228 Correct Answer Incorrect Answer
    D 232 Correct Answer Incorrect Answer

    Solution

    ( a + b = 8 )
    ( (a + b) ┬▓ = 8┬▓ )
    ( a┬▓ + b┬▓ + 2ab = 64 )
    ( 40 + 2ab = 64 )
    ( 2ab = 24 ab = 12 )
    ( a┬│ + b┬│ = (a + b)(a┬▓ + b┬▓ - ab)) = 8 (40 - 12) = 8┬а * 28 = 224┬а

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