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2022 AIME I Question 2

AIME · 2022 AIME I

Question 2

Find the three-digit positive integer $\underline{a}\,\underline{b}\,\underline{c}$ whose representation in base nine is $\underline{b}\,\underline{c}\,\underline{a},$ where $a,$ $b,$ and $c$ are (not necessarily distinct) digits.