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2 years ago

5

If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total

of pages.

1 answer:

Charra [1.4K]2 years ago

4 0

Answer:

394 pages

Step-by-step explanation:

<u>1- digit numbers: </u>

1 to 9, number of digits = 9

<u>2- digit numbers:</u>

10 to 99, number of digits = 2(99 - 9) = 180

<u>3- digit numbers:</u>

100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

<u>Let it be x, then we have:</u>

9 + 180 + 3(x - 99) = 1074
3(x - 99) = 1074 - 189
3(x - 99) = 885
x - 99 = 885/3
x - 99 = 295
x = 295 + 99
x = 394

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