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MathNet 2019-part-02 — 184 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 19

In the magic square below, every integer from $1$ to $25$ can be placed in the small squares so that the sums in every row and column, as well as on the diagonals, are the same. Given that the number in the centre of the square is $18$, what is the sum of the numbers written in the shaded squares?

Question illustration