Question 14
Find all real numbers $x$ such that
$$
\lfloor 2x \rfloor + \lfloor 3x \rfloor + \lfloor 7x \rfloor = 2008
$$
$$
\lfloor 2x \rfloor + \lfloor 3x \rfloor + \lfloor 7x \rfloor = 2008
$$
Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)