Maths Olympiad Prep

Library / /13 of 241

, 2023

Algebra Difficulty 1.1 Junior Find the answer Canada

If 3n=9+9+93n = 9+9+9, then nn equals

Pick one

Solution

Since $3n = 9 + 9 + 9 = 3 ×\times
9,then, then n = 9$.

Alternatively, we could note that $9 + 9 + 9
= 27andso and so 3n = 27$ which
gives n=273=9n = \frac{27}{3} = 9.

Want a route through all this instead of an archive? The track puts 2,444 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.