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MathNet 2019-part-04 — 184 problems (EN–VI) Question 73

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 73

One hundred students wear shirts numbered from $1$ to $100$. The students are arranged in a square of ten rows by ten columns. It turns out that adding the ten shirt numbers of the students in any row or any column always yields the same outcome.
Determine that outcome.