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Australian Intermediate Mathematics Olympiad 2022 Question 1

AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2022

Question 1

A 3-digit number $\overline{abc}$ is multiplied by 3 to give the 4-digit number $\overline{c0ba}$. Find the number $\overline{abc}$.

Numerical answer only; a non-negative integer less than 1000.