perplexus.info :: Numbers : Missing Pages

Missing Pages (Posted on 2009-11-13)

A chunk of pages is missing from a book. The sum of the missing page numbers is 9808. What are those page numbers?

Submitted by Brian Smith

Rating: 3.5000 (2 votes)

Solution: (Hide)

Pages 291 through 322 are missing.

There are multiple solutions in the comments. Ady Tzidon's solution uses the fact that the average of the page numbers must equal an integer plus 1/2.

9808 = 32*306.5
There are 32 missing pages, the first 16 end at 306 and the last 16 start at 307. Then the first missing page is 306-15=291 and the last missing page is 307+15=322.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Easy, Virginia	Ady TZIDON	2009-11-14 02:48:24
Spreadsheet Solution	brianjn	2009-11-13 21:37:44
Solution	Dej Mar	2009-11-13 17:37:58
solution	Charlie	2009-11-13 16:48:23
finally got it	Vishal Gupta	2009-11-13 15:01:30
No Subject	Vishal Gupta	2009-11-13 14:43:05
answer	subhobrata	2009-11-13 14:36:39

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