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UKMT Junior Kangaroo, 2018

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

William has four cards with different integers written on them. Three of these integers are 22, 33 and 44. He puts one card in each cell of the 2×22\times 2 grid shown. The sum of the two integers in the second row is 66. The sum of the two integers in the second column is 1010. Which number is on the card he places in the top left cell?

(A) 22 (B) 33 (C) 44 (D) 66 (E) Can't be sure

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