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DE-BUNDESWETTBEWERB 2012 Problem 1

  • Round 1

Alex writes the sixteen digits 2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,92, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9 side by side in any order and then places a colon somewhere between two digits, so that a division task arises. Can the result of this calculation be 22 ?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2012 official paper, page 1.

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