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8 May, 05:38

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9.

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  1. 8 May, 07:49
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    a + b = 7

    10a + b + 9 = 10b + a

    9a - 9b = - 9

    9a = 9b - 9

    a = b - 1

    Plugging back into the original equation:

    (b - 1) + b = 7

    2b - 1 = 7

    2b = 8

    b = 4

    a = 3

    34
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