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Source: AIME I #2

February 9, 2022

AMCAIMEAIME I

Problem Statement

Find the three-digit positive integer

\underline{a} \ \underline{b} \ \underline{c}

whose representation in base nine is

\underline{b} \ \underline{c} \ \underline{a}_{\hspace{.02in}\text{nine}}

, where

a

,

b

, and

c

are (not necessarily distinct) digits.

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