Maths Olympiad Prep

Library / /348 of 387

, 2002

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

The sum of the digits of the integer equal to 77777777777777722222222222222232777\,777\,777\,777\,777^2 - 222\,222\,222\,222\,223^2 is

(A) 148148 (B) 8484 (C) 7474 (D) 6969 (E) 7979

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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.