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Grade 4
Page numbering (inverse problem)
A printer numbers the pages of a book starting with 1 and uses 2832 digits in all. How many pages does the book have?
976
961
980
1073
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Explanation
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No. of digits in 1-digit page nos. = 1 x 9 = 9.
No. of digits in 2-digit page nos. = 90 x 2 = 180
.No. of digits in 3-digit page nos. = 2832 - ( 9 + 180) = 2643.
∴ No. of pages with 3-digit page nos. = (2643 / 3) = 881.
Hence, total number of pages = (9 + 90 + 881) = 980.
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