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Let $x$ and $y$ be real numbers such that $x + \lfloor y \rfloor = 7.5.$ Find all possible values for $y + \lfloor x \rfloor.$

Guest Feb 19, 2021

Guest · Answer 1 · 2021-02-19T03:00:06

The floor and fractional parts switch, so y + floor(x) = 5.7.