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DK-GEORGMOHR 2014 Problem 1

    Georg chooses three distinct digits among 1,2,...,91, 2, . . . , 9 and writes them down on three cards. When the cards are laid down next to each other, a three-digit number is formed. Georg tells his mother that the sum of the largest and the second-largest number that can be formed in this manner is 17321732 . Can she figure out which three digits Georg has chosen?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2014 official paper, page 1.

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