Question

A printer uses 837 digits to number the pages of a book how many pages are there in the book

Answer 1

Hey There!



Let's solve this interesting question.

The printer prints 837 digits. 

-> There are nine single-digit numbers [1,2,...,9]

Let's remove 9 from 837.

837 - 9 = 828 digits left


-> The two-digit numbers are 10,11,12,...,99.
Thus, there are 90 two-digit numbers 

So, they take up 90*2 = 180 digits space.

Let's remove 180 from 828.

828 - 180 = 648

Thus, 648 digits left.


Now, the three digit numbers start: 100,101,102, 103,...

Each such page takes 3 digits of printer ink.

Let number of three-digit pages = n
Then 3n = Number of digits left
So, 3n = 648

So, n = 216

Thus, there are 216 pages with three-digit numbers.



Thus, now we can add the total number of pages:

Number of pages = 9 + 90 + 216 = 315



Thus, The book has 315 pages.



Hope it helps
Purva
Brainly Community