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Problem of the Day #118: Pooh’s Diophantine July 15, 2011

Posted by Saketh in : potd , trackback

Winnie the Pooh is trying to find solutions for the equation below. Each distinct solution $(x,y,z)$ will earn him a jar of honey. $$413x + 792y + z = 327096$$ Being a bear of very little brain, he can only work with non-negative integers. How many jars of honey can he get?

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1. Sreenath - July 15, 2011

Here’s a little hint: