Maths Olympiad Prep

Library / CEMC Fermat /105 of 566

CEMC Fermat, 2016

Algebra Difficulty 1.0 Junior Find the answer Canada

If x=3x=3, y=2xy=2x and z=3yz=3y, the value of zz is

Pick one

Solution

Since x=3x=3 and y=2xy=2x, then y=2⋅3=6y = 2\cdot 3 = 6.

Since y=6y=6 and z=3yz=3y, then z=3⋅6=18z = 3\cdot 6 = 18.

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.