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    Question

    If, ( a + b = 20 ) and ( a┬▓ + b┬▓ = 208 ), then find

    the value of (a┬│ + b┬│).
    A 2220 Correct Answer Incorrect Answer
    B 2230 Correct Answer Incorrect Answer
    C 2240 Correct Answer Incorrect Answer
    D 2250 Correct Answer Incorrect Answer

    Solution

    ( a + b = 20 )
    ( (a + b)┬▓ = 20┬▓ )
    ( a┬▓ + b┬▓ + 2ab = 400 )
    ( 208 + 2ab = 400 )
    ( 2ab = 192 ab = 96 )
    (a┬│ + b┬│ = (a + b)(a┬▓ + b┬▓ - ab)) = 20 (208 - 96) = 20 * 112 = 2240)

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