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30 January, 21:26

A positive integer is 5more than 23 times another. Their product is 6732. Find the two integers

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  1. D
    31 January, 01:12
    0
    One integer is m.

    The other integer is n.

    n = 23m + 5

    mn = 6732

    m = 6732/n

    n = 23 * 6732/n + 5

    n = 154,836/n + 5

    n^2 = 154,836 + 5n

    n^2 - 5n - 154,836 = 0

    n = [5 + - sqrt (25 + 4 * 154,836) ]/2

    n = (5 + - 787) / 2

    n = 396 or n = - 391

    We discard - 391 because the problem is looking for positive integers.

    mn = 6732

    m = 6732/n = 6732/396

    m = 17

    Answer: The integers are 17 and 396.
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