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MathNet 2022-part-04 — 197 problems (EN–VI) Question 185

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 185

Find the number of integer solutions of the equation
$$
\left\lfloor \frac{x}{7} \right\rfloor = \left\lfloor \frac{x}{12} \right\rfloor + \left\lfloor \frac{x}{17} \right\rfloor.
$$