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23 December, 07:43

The difference between two whole numbers is 14 and their product is 1,800.

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  1. 23 December, 08:51
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    Let b>a

    b-a=14, so we can say b=14+a

    ab=1800, and using b from above we get:

    a (14+a) = 1800

    14a+a^2=1800

    a^2+14a-1800=0

    a^2-36a+50a-1800=0

    a (a-36) + 50 (a-36) = 0

    (a+50) (a-36) = 0

    So there are two solutions ...

    a=-50 and 36 and since b=14+a the corresponding b values are:

    b=-36 and 50

    So the number pairs are:

    -50 and - 36 and

    36 and 50
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