Maths Olympiad Prep

Library / CEMC Pascal /394 of 603

CEMC Pascal, 2010

Algebra Difficulty 2.0 Junior Find the answer Canada

In the diagram, each of the five boxes is to contain a number. Each number in a shaded box must be the average of the number in the box to the left of it and the number in the box to the right of it. What is the value of xx?

(A) 2828 (B) 3030 (C) 3131 (D) 3232 (E) 3434

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.