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CEMC Gauss (Grade 7), 2009

Number theory Difficulty 2.0 Junior Find the answer Canada

If x,yx, y and zz are positive integers with xy=18xy = 18, xz=3xz = 3 and yz=6yz = 6, what is the value of x+y+zx + y + z?

(A) 66 (B) 1010 (C) 2525 (D) 1111 (E) 88

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.