In a textbook, 900 digits are used for the page numbers. How many pagesare in the textbook, starting with page 1? (Hint: First find how many digitsare used for pages 1-9 and 10-99.)

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AmilR713573 AmilR713573 · Answer 1 · 2022-11-03T09:52:36+01:00

Given:

900 digits are used for the page numbers. How many pages are in the textbook, starting with page 1

We will find the number of the pages of the book as follows

The number of digits from 1 to 9 = 9

The number of digits from 10 to 99:

There are 90 numbers, each number has 2 digits

So, the number of digits from 10 to 99 = 90 x 2 = 180

The number of digits from 100 to 999:

There are 900 numbers, and each number has 3 digits

so, the number of digits from 100 to 999 = 900 x 3 = 2700

The overall digits are given = 900

So, number of digits from 1 to 99 = 9 + 180 = 189

Subtract 189 from 900 = 900 - 189 = 711

Divide 711 by 3 = 237

So, the number of pages that have 3 digits = 237

So, the number of pages of the book = 237 + 99 = 336

So, the answer will be 336 pages