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MathNet 2023-part-01 — 191 problems (EN–VI) Question 22

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 22

Ana placed the numbers from $1$ to $9$ in the squares of the figure, one in each square, without repeating numbers. It turned out that, for each of the four arrows indicated, the sum of the three numbers in that direction is equal to the number of Ana's cats. How many cats does Ana have? Find all possibilities.
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