Maths Olympiad Prep

Library / /164 of 413

, 2004

Number theory Difficulty 1.0 Junior Find the answer Canada

If 800670=8×10x+6×10y+7×10z800\,670 = 8\times10^x + 6\times10^y + 7\times10^z, where xx, yy and zz are whole numbers, then x+y+zx+y+z equals

(A) 1111 (B) 88 (C) 66 (D) 33 (E) 55

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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.