Maths Olympiad Prep

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, 2007

Algebra Difficulty 2.0 Junior Find the answer Canada

The average of four different positive whole numbers is 4. If the difference between the largest and smallest of these numbers is as large as possible, what is the average of the other two numbers?

(A) 1121\frac{1}{2} (B) 2122\frac{1}{2} (C) 44 (D) 55 (E) 22

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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.