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3 March, 18:16

A two digit number is such that the product of its digits is 35. when 18 is added to the number the digits interchange their places. find the number

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  1. 3 March, 20:53
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    X * y = 35

    y * 10 + x + 18 = x * 10 + y

    9 * y - 9 * x + 18 = 0

    y = 35 / x

    9 * 35 / x - 9 * x + 18 = 0

    -9x² + 18x + 315 = 0

    x = 7

    y = 5
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