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When you reverse the digits in a certain two digit number you decrease it's value by 36. Find the number if the sum of its digits is 10

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  1. 6 July, 07:08
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    The number is 73.

    Step-by-step explanation:

    I. 10b + a = 10a + b - 36

    II. a + b = 10 - -> b = 10 - a

    II in I

    10b + a = 10a + b - 36

    9b = 9a - 36

    9 (10 - a) = 9a - 36

    90 - 9a = 9a - 36

    126 = 18a

    a = 7

    b = 10 - 7 = 3
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