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MathNet 2017-part-01 — 176 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 8

How many solutions does the equation
$$
\lfloor \frac{x}{20} \rfloor = \lfloor \frac{x}{17} \rfloor
$$
have in the set of positive integers?
Here $\lfloor a \rfloor$ denotes the greatest integer that is less than or equal to $a$.
(Karl Czakler)