Maths Olympiad Prep

Library / /355 of 475

, 2008

Number theory Difficulty 2.0 Junior Find the answer Canada

An integer is defined to be upright if the sum of its first two digits equals its third digit. For example, 145 is an upright integer since 1+4=51+4=5. How many positive 3-digit integers are upright?

(A) 2828 (B) 3939 (C) 3636 (D) 4545 (E) 5050

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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.