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11 October, 07:13

The sum of the digits of a two-digit number is 6. When the digits are reversed, the number decreases by 18. Find the original number.

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  1. 11 October, 07:31
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    The number is 42

    Explanation:

    Let the digits be a and b.

    The sum of the digits of a two-digit number is 6

    That is

    a + b = 6

    When the digits are reversed, the number decreases by 18

    ab - ba = 18

    We need to find the number

    Since ab - ba = 18, we know that a is greater than b.

    Take a = 4

    4 + b = 6

    b = 6 - 4 = 2

    That is the number is ab = 42

    When it is reversed the number is 24.

    42 - 24 = 18, hence correct

    The number is 42
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