AMC 10 Step by Step
2016 AMC 10AProblem 6P1-10~2 minPrint

Ximena lists the whole numbers 11 through 3030 once. Emilio copies Ximena's numbers, replacing each occurrence of the digit 22 by the digit 11 . Ximena adds her numbers and Emilio adds his numbers. How much larger is Ximena's sum than Emilio's?

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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.