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Problem 94

Algebra Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2020

In an increasing list of consecutive integers, the 3 $^{rd}$ and 4 $^{th}$ numbers in the list add to 11. What is the 6 $^{th}$ number in the list?

Pick one

Official solution

Since the third and fourth numbers in the list are consecutive and add to 11, then the third number in the list is 5 and the fourth is 6.
The fifth number in the list is 7, and so the sixth number in the list is 8.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.