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Australian AMC 2012 - Intermediate Question 29

AMC AUSTRALIA · Australian AMC 2012 - Intermediate

Question 29

In the grid shown, we need to fill in the squares with numbers so that the number in every square, except for the corner ones, is the average of its neighbours. The edge squares have three neighbours, the others four.

Question illustration

What is the value of the number in the square marked $x$?