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MathNet 2009-part-01 — 175 problems (EN–VI) Question 14

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 14

Find all real numbers $x$ such that
$$
\lfloor 2x \rfloor + \lfloor 3x \rfloor + \lfloor 7x \rfloor = 2008
$$