AMC 10 Step by Step
2017 AMC 10AProblem 20P16-20~4 minPrint

Let S(n)S(n) equal the sum of the digits of positive integer nn . For example, S(1507)=13S(1507) = 13 . For a particular positive integer nn , S(n)=1274S(n) = 1274 . Which of the following could be the value of S(n+1)S(n+1) ?

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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.