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Australian AMC 2011 - Intermediate Question 27

AMC AUSTRALIA · Australian AMC 2011 - Intermediate

Question 27

The diagram shows the net of a cube. On each face there is an integer: $1$, $w$, $2011$, $x$, $y$ and $z$.

Question illustration

If each of the numbers $w$, $x$, $y$ and $z$ equals the average of the numbers written on the four faces of the cube adjacent to it, find the value of $x$.