olymmath

AIME 2017a Problem 5

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A rational number written in base eight is ab‾.cd‾\underline{ab} . \underline{cd}, where all digits are nonzero. The same number in base twelve is bb‾.ba‾\underline{bb} . \underline{ba}. Find the base-ten number abc‾\underline{abc}.

Dataset text AIME 1983 to 2026. Quoted with source.

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321

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