In a book, 495 digits were used to number the pages.
How many pages were there?
How many 9s were used?
Answers
Answer:
There are 9 pages that use a single digit (pages 1-9), leaving 495 digits - 9 pages × 1 digit/page = 486 digits
There are 90 pages that use 2 digits (pages 10-99), leaving 486 digits - 90 pages × 2 digits/page = 306 digits
There are 900 pages that use 3 digits (pages 100-999); this would be 2,700 digits, so the number of pages is somewhere in the hundreds.
306 digits ÷ 3 digits/page = 102 pages in the hundreds.
→ total number of pages = 102 + 90 + 9 = 201 pages.
Step-by-step explanation:
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Answer:
201 pages are used using 495 digits.
40 times the number 9 is used.
Step-by-step explanation:
Given 495 digits were used to number the pages.
The single digit numbers are 1 to 9.
So, 9 pages are numbered with single digit, 1 digit is used per page and hence the remaining pages are
Next the 2 digit numbers are 10 to 99, with a total number of 90 two digit numbers are used.
Since 2 digits per paper will be used, the remaining pages are
Then the 306 digits are used with 3 digits per each page.
Therefore,
= 102 pages in the hundreds.
And hence the total number of pages
So, 201 pages are used using 495 digits.
And in total 40, the number 9 are used for 201 pages.
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