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11 May, 01:38

If a-b = 4 and ab = 60, what is the value of a + b?

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  1. 11 May, 01:51
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    a + b = 16 or - 16.

    Step-by-step explanation:

    a - b = 4

    ab = 60 so a = 60/b

    Substituting for a in the first equation:

    60/b - b = 4

    60 - b^2 = 4b

    b^2 + 4b - 60 = 0

    (b + 10) b - 6) = 0

    b = 6, - 10.

    Therefore, from the first equation:

    When b = - 10. a + 10 = 4 giving a = - 6 or

    When b = 6, a - 6 = 4 giving a = 10.

    So when a = - 6, b = - 10 and

    when a = 10, b = 6.

    So a + b is either 16 or - 16.
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