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    OlympiadHardNumber Theory5–6

    What is the smallest whole number greater than 11 that leaves remainder 11 when divided by 33 and remainder 22 when divided by 55?

    Qual é o menor número inteiro maior que 11 que deixa resto 11 na divisão por 33 e resto 22 na divisão por 55?

    Answer options

    Solution

    Step 1 of 3

    1. 1.Numbers leaving remainder 22 when divided by 55 are 2,7,12,17,22,…2, 7, 12, 17, 22, \ldots