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Australian AMC 2024 - Intermediate Question 26

AMC AUSTRALIA · Australian AMC 2024 - Intermediate

Question 26

In the multiplication puzzle shown, $a$, $b$ and $c$ represent different digits.

Editable equation: $\overline{aabb}\times c=\overline{cbbc}$.

There is more than one way to solve this puzzle. What is the sum of all possible three-digit numbers of the form $\overline{abc}$?

Question illustration