Maths Olympiad Prep

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, 2025

Algebra Difficulty 1.3 Junior Find the answer Canada

Suppose that 6x+3=y6x + 3 = y,
where xx is a positive integer. A
possible value of yy is

Pick one

Solution

Since xx is a positive
integer and y=6x+3y=6x+3, then yy is 3 more than a positive multiple of
66. Since 45=6×7+345=6\times7+3, then y=45y=45 when x=7x=7. Of the given answers, 4545 is the only number that is 33 more than a positive multiple of 66.

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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.