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Algebra Difficulty 1.4 Junior Find the answer Canada

The sum of 3 consecutive even numbers is 312. What is the largest of these 3 numbers?

Pick one

Solution

Moving 3 letters clockwise from $W$ , we arrive at the letter $Z$ .

Moving 1 letter clockwise from the letter $Z$ , the alphabet begins again at $A$ .

Therefore, the letter that is 4 letters clockwise from $W$ is $A$ .

Moving 4 letters clockwise from $I$ , we arrive at the letter $M$ .

Moving 4 letters clockwise from $N$ , we arrive at the letter $R$ .

The ciphertext of the message $WIN$ is $AMR$ .

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.