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1992,1993, ... ,2000 form a 3x3 magic square, center number is 1996

Source: 1996 Estonia National Olympiad Final Round grade 11 p3

March 11, 2020
algebramagic squaretable

Problem Statement

Numbers 1992,1993,...,20001992,1993, ... ,2000 are written in a 3×33 \times 3 table to form a magic square (i.e. the sums of numbers in rows, columns and big diagonals are all equal). Prove that the number in the center is 19961996. Which numbers are placed in the corners?
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