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FI-MO 2018 Problem 1

    Eve and Martti have a whole number of euros. Martti said to Eve: ''If you give give me three euros, so I have nn times the money compared to you. '' Eve in turn said to Martti: ''If you give me nn euros then I have triple the amount of money compared to you'' . Suppose, that both claims are valid. What values can a positive integer nn get?

    Dataset text AI-MO AoPS. Quoted with source.

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