# AIMO 2015 Q8

Determine the number of non-negative integers $$x$$ that satisfy the equation

$\left \lfloor \dfrac {x}{44} \right \rfloor = \left \lfloor \dfrac {x}{45} \right \rfloor.$

(Note: if $$r$$ is any real number, then $$\lfloor r \rfloor$$ denotes the largest integer less than or equal to $$r$$.)

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