Problem

Problem of the Day #45

POTD January 19, 2024

You are a magician and you claim that if someone chooses a number \overline{ABC}, and they give you the sum of \overline{ACB}, \overline {BAC}, \overline{BCA}, \overline{CBA}, \overline {CAB}, you are able to compute \overline{ABC}. If you are given the sum is 3479, find \overline{ABC}. (Note that A, B, and C are all digits)


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Problem Tags: Geometry Number theory

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