# An algebra problem by Dharani Chinta

Algebra Level 4

Let $$N$$ be any four-digit integer $$\overline{x_1x_2x_3x_4}$$, where $$x_1$$, $$x_2$$, $$x_3$$, and $$x_4$$ are single-digit positive integers and $$x_1 \ne 0$$.

Find the maximum value of $$\left \lfloor \dfrac{N}{x_1 + x_2 + x_3 + x_4} \right \rfloor$$, where $$\lfloor \cdot \rfloor$$ denotes the floor function.

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