To number the pages of a bulky volume the printer used 1890 digits. How many pages has the volume?
If 1890 digits are used to number the pages in a volume, how many pages are there?
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problem-solving
1 Answers
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We have $9\cdot 1+90\cdot 2=189$ digits from first $99$ pages. We have $1890-189=1701$ digits remaining and therefore $1701:3=567$ pages with three digits. Hence, the volume has $99+567=666$ pages.