Question
A printer uses a total number of 4893 digits in order to
number all the pages of his book. He starts with the digit 1 for the first page of the book. How many pages does the book have?Solution
1.digit pages = 1 to 9 = 9 2.digits pages = 10 to 99 = 90 3.digits pages = 100 to 999 = 900 4 digit pages = let’s say x Now, Number of digits used till 999 pages = 9*1 + 90*2 + 900*3 = 9 + 180 + 2700 = 2889 Therefore, 4x + 2889 = 4893 4x = 2004 X = 501 So, total pages are 9 + 90 + 900 + 501 =1500
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