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A math book has N pages. The first page has page number 1. If all page numbers contain 6869 digits in total, what is the sum of digits of N? For example, if a book has 11 pages, pages numbers contain 9+2+2=13 digits in total.

 

a) 19

b) 20

c) 21

d) 22

e) 23

 Aug 6, 2020
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If the sum of all digits of all the pages of the book sum up to 6869, then that means the book must have:

 

1,994 pages. And 1,994 =[1 + 9 + 9 + 4] =23 - the sum of the digits of N.

 Aug 6, 2020

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