AMC 10 Step by Step
2014 AMC 10AProblem 21P21-25~3 minPrint

Positive integers aa and bb are such that the graphs of y=ax+5y=ax+5 and y=3x+by=3x+b intersect the xx -axis at the same point. What is the sum of all possible xx -coordinates of these points of intersection?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.