Pages in a book - need to verify my solution

Hi All,

I have solved this problem below. But the required answer and my answer don't match. Please help me find the mistake in my solution.

The pages of a book are numbered as 1, 2, 3, .... It is found that 195 digits are used.

(a) How many pages are numbered with a single-digit number?

(b) How many pages are numbered with a two-digit number?

(c) How many pages are there altogether?

(a) I got single-digit numbers = 9

(b) I got, two-digit numbers = 99 - 9 = 90

(c) This is the part I need verified.

The required answer is 101, I am not sure how to get there. Can you help identify my mistake. Thanks for your help.