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    OlympiadMediumNumber Theory5–6

    A two-digit number added to the number with its digits swapped gives 9999. What is the sum of the two digits?

    Um número de dois algarismos somado com o número de algarismos trocados dá 9999. Qual é a soma dos dois algarismos?

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    Solution

    Step 1 of 3

    1. 1.A number with tens digit aa and units digit bb is worth 10a+b10a + b; swapped it is 10b+a10b + a.