AMC 10 Step by Step
2013 AMC 10BProblem 13P11-15~3 minPrint

Jo and Blair take turns counting from 11 to one more than the last number said by the other person. Jo starts by saying " 11 ", so Blair follows by saying " 1,21, 2 " . Jo then says " 1,2,31, 2, 3 " , and so on. What is the 53rd number said?

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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.