Challenging 6'th grade question for math enthusiasts!
Taken from "Russian math olympiads in Moscow 1993-2002" by N.Aghanov and O.Podlipsky.
Given at the regional stage of 1994.
The pages of a book are numbered from the first to the very last. The hooligan Vasia ripped 25 pages of the said book and added the numbers on these pages. He got 1994. When Kolia found out about this, he instantly knew that Vaisa had added the numbers wrong. Explain why Kolia is right.

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the sum better be odd

^_^

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