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Answer: 133


 page  1   2   3   4   5   6   7   8   9   10
 number  1   2   4   5   7   8   10       
   =   =   +1   +1   +2   +2   +3   +3   +4   +4 

Add one to the difference for each odd page

89 is before 90, the 45th even number, so 89 is the 45th odd number

Difference has increased by 1 for every odd number except for 1

So number 89 + 45 = 133 is printed on the last page.

 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.