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Problem 393

Algebra Difficulty 2.5 Find the answer Junior Mathematical Olympiad, September · Netherlands · 2019

At a conference, there were participants from four countries: the Netherlands, Belgium, Germany, and France. There were three times as many participants from the Netherlands as there were Belgians, and three times as many Germans as French. Five of the participants counted the total number of participants (including themselves). They counted 366366, 367367, 368368, 369369, and 370370 participants, respectively. Only one of them got the right answer.
What is the correct number of participants?
A) 366366 B) 367367 C) 368368 D) 369369 E) 370370

This was a multiple-choice question, but the options didn't survive into the source we have, so there is nothing here to pick from. Work it on paper and mark yourself against the solution below.

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Official solution

C) 368368

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.