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Art of Problem Solving
AoPS Academy
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
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and language arts learners in grades 2-12.
![\[Cross Multiply\]](http://latex.artofproblemsolving.com/1/0/7/1071fdcec3cc046f38b9dd8622a661cce5836432.png)
![\[N + N X = ( 1 - x ) ( N + 1)\]](http://latex.artofproblemsolving.com/b/9/a/b9af160f0daefa91ea26e9f0f1d2c456f009db07.png)
![\[Expand the Brackets\]](http://latex.artofproblemsolving.com/3/0/4/304bd6b028744db62689a841a4470d6522dbf123.png)
![\[N + N X = N + 1 - N X - X\]](http://latex.artofproblemsolving.com/0/1/7/0174c7c49a7955422d1f1efb7c26fc6159447268.png)
Simplify Again
X = 1 / 2 N X
The answer is 
Art of Problem Solving is an
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