In numbering the pages of the book, a total of 510 digits were printed.?

If the first page was numbered one, How many pages does the book have?


Please show workIn numbering the pages of the book, a total of 510 digits were printed.?
0,1,2,3,4.........9 are all digits


1-9=9 digits


10-99=90 numbers with 2 digits each = 90*2 = 180 digits


100-999 = 900 numbers with 3 digits each = 900*3= 2700 digits





so the last page number is definitely 3 digit number


510-189= 321 digits are more required





for page number 99 onwards each page will give 3 digits


so we need 321/3=107 more pages


99+107 = 206 pages

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