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A book’s pages are numbered with integers 1 through n. When the book is open to the exact middle, the product of the two page numbers showing is 1980. What is the value of n, assuming that all pages of the book are numbered?

 May 16, 2020
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Since the two numbers are consecutive integers, they will be very close to the square root of 1980.

sqrt(1980)  =  44.508... 

So, try 44 and 45.

 May 16, 2020

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