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26 November, 14:20

Find two consecutive odd integers whose product is 99

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  1. 26 November, 14:22
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    Let x be the first odd number.

    Second odd number will be x+2

    Proof:

    If 3 (was) the first odd number, 3+2 would be the next which is 5.

    So,

    (x) (x+2) = 99

    xsquare + 2x = 99

    xsquare + 2x - 99 = 0

    xsquare + 11x - 9x - 99 = 0

    x (x + 11) - 9 (x + 11) = 0

    (x+11) (x-9) = 0

    So the two odd numbers were 9 and 11
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