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 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?

 See The Solution Submitted by Brian Smith Rating: 3.5000 (2 votes)

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 No Subject | Comment 2 of 7 |

9808 has to be equal to the sum of some consecutive natural numbers (even number of number as each page has two sides and hence two page numbers).

So,

9808 = m(m+1)/2 - n(n+1)/2

19616 = m(m+1) - n(n+1)

19616 = m^2-n^2 +m-n

= (m+n)(m-n) + m-n

= (m-n) (m+n+1)

just cant figure out how to solve this ...

 Posted by Vishal Gupta on 2009-11-13 14:43:05
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