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MathNet 2008-part-03 — 165 problems (EN–VI) Question 29

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 29

The teacher ordered 20 students from one class in a row and gave 800 candies to them. Every student had to calculate the ratio $\frac{x}{x+2k-1}$, where $x$ is the number of candies that he got and $k$ is the number of his position in the row, counting from left to right. After calculating they all got the same result. How many candies were given to the student that was twelfth in the row?