Maths Olympiad Prep

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, 2026

Algebra Difficulty 1.4 Junior Find the answer Canada

If p+q+r=19p+q+r=19 and p+r=8p+r=8, then the value of qq is

Pick one

Solution

Since p+q+r=p+r+q=19p+q+r=p+r+q=19 and
p+r=8p+r=8, then 8+q=198+q=19 and so q=198=11q=19-8=11.

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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.