The digits of a two-digit number differ by 3. If digits are interchanged and the
resulting number is added to the original nu

The digits of a two-digit number differ by 3. If digits are interchanged and the
resulting number is added to the original number, we get 121. Find the original number.

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Peyton

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  1. We Have :-

    a two digit number

    To Find:-

    number

    Solution:-

    let the first digit be x

    second digit become x + 3

    acc to the question now

    10(x) + (x + 3) + 10(x + 3) + x = 121

    10x + x + 3 + 10x + 30 + x = 121

    11x + 3 + 11x + 30 = 121

    22x + 33 = 121

    11(2x + 3) = 121

    2x + 3 = 121/11

    2x + 3 = 11

    2x = 8

    x = 8/2

    x = 4

    x + 3 = 4 + 3 = 7

    so the original number is 47

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