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MathNet 2008-part-03 — 165 problems (EN–VI) Question 154

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 154

Jaka chooses a three-digit number $x$, composed of three different non-zero digits. He then takes a piece of paper and writes down all other three-digit numbers he can form from those three digits. The sum of the numbers on the paper is $3434$. Find all possible $x$.