Maths Olympiad Prep

Library / /391 of 472

, 2010

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

Positive integers aa and bb satisfy ab=2010ab = 2010. If a>ba > b, the smallest possible value of aba - b is

(A) 3737 (B) 119119 (C) 191191 (D) 11 (E) 397397

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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.