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UKMT Junior Mathematical Olympiad, 2019

Number theory Difficulty 3.0 AMC 10/12 Prove it United Kingdom

In this word-sum, each letter stands for one of the digits 0–9, and stands for the same digit each time it appears. Different letters stand for different digits. No number starts with 0. Find all the possible solutions of the word-sum shown here: $JMO + JMO + JMO = IMO$ .

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