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11 December, 13:27

When you reverse the digits in a certain two-digit number you increase its value by 18. What is the number if the sum of its digits is 12?

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  1. 11 December, 16:46
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    Let's call the number ab with digits a and b

    a+b=12 = > b=12-a

    a*10+b + 18 = b*10+a = > 9a + 18 = 9b

    9a + 18 = 9 (12-a) = > 18a = 108-18 = 90 = > a=5

    b = 12-5 = 7

    The number is 57. Reversed is 75 and 57+18 is indeed 75.
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