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MathNet 2016-part-04 — 184 problems (EN–VI) Question 38

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 38

Two positive integers $x$ and $y$ are such that $\frac{2010}{2011} \lt \frac{x}{y} \lt \frac{2011}{2012}$. Find the smallest possible value of the sum $x + y$.
Neculai Stanciu