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21 April, 13:24

The product of two consecutive odd integers in 783. What are the integers?

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  1. 21 April, 13:33
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    Let the odd no. be X and Y.

    Then XY = 783

    Since the odd no. are consecutive,

    Y = X + 2

    i. e X (X+2) = 783

    Factorizing

    X^2 + 2X = 783

    X^2 + 2X - 783 = 0

    Therefore X = 27 or 29

    Thus if X = 27, Y = 29

    and if X = 29, Y = 27
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