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MathNet 2009-part-03 — 175 problems (EN–VI) Question 16

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 16

In a square $3 \times 3$ table, Dimitar may write the numbers $\frac{1}{2}$, $\frac{1}{3}$ and $\frac{1}{6}$. Can Dimitar write one of these numbers in each cell so that the sums of the numbers in the three rows, the three columns and the two diagonals are all different from each other?