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How many pages are in a book, if the total numbering on all the pages ( from the first to the last) required 720 digits?

Sagot :

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Solving a linear equation, we conclude that the book has 276 pages in total.

How many pages has the book?

From pages 1 to 9, each page needs one digit, so at this point we have 9 digits.

From page 10 to 99, each one needs 2 digits. Then in these pages we have:

(99 - 9)*2 = 180 digits.

So at this point we have 180 + 9 = 189 pages.

Now, for each page after this point, we will add 3 digits more.

So if there are x pages after this point, the total number of digits will be:;

N = 189 + x*3

Now we need to solve this linear equation for N = 720 digits, then:

720 = 189+ x*3

720 - 189 = x*3

531 = x*3

531/3 = x = 177

So there are 177 pages after page number 99, this means that the book has:

99 + 177 = 276 pages in total.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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