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UKMT Grey Kangaroo, 2020

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Each cell of a 3×33 \times 3 square has a number written in it. Unfortunately the numbers are not visible because they are covered in ink. However, the sum of the numbers in each row and the sum of the numbers in two of the columns are all known, as shown by the arrows on the diagram. What is the sum of the numbers in the third column?

(A) 4141 (B) 4343 (C) 4444 (D) 4545 (E) 4747

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