DK-GEORGMOHR 2025 Problem 1
Georg and his mother play a game with coins. Initially, Georg places some number of coins on the table. Then his mother places twice as many coins. Then Georg places so many coins that he has in total placed twice as many coins as his mother. Then his mother places so many coins that she has in total placed twice as many coins as Georg. Finally, Georg places coins and has now in total placed twice as many as his mother. How many coins did Georg place initially?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2025 official paper, page 1.
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