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    OlympiadMediumNumber Theory7–9

    What is the smallest positive integer that leaves remainder 33 when divided by 77 and remainder 44 when divided by 99?

    Qual é o menor inteiro positivo que deixa resto 33 na divisão por 77 e resto 44 na divisão por 99?

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    Solution

    Step 1 of 3

    1. 1.The numbers leaving remainder 44 on division by 99 are 4,13,22,31,40,…4, 13, 22, 31, 40, \ldots