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An even better puzzle!


gwnn

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Try this for size (each fruit represents a positive integer):

 

4sTgA3E.png

 

If you're lazy, you can find the solution here:

 

https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y%2Bz-%2B-frac-y-z%2Bx-%2B-frac-z-x%2By-4/answer/Alon-Amit?srid=nXzG

The actual answer being (only the smallest triplet:)

 

 

 

a=154476802108746166441951315019919837485664325669565431700026634898253202035277999,

b=36875131794129999827197811565225474825492979968971970996283137471637224634055579,

c=4373612677928697257861252602371390152816537558161613618621437993378423467772036

 

 

 

 

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This isn't really a brain-teaser like the other two puzzles, it's just a really hard math problem. Since probably more than half of the general population can't even solve high school algebra problems, it's hardly surprising that this would stump 95% of people (I suspect it's actually more than 99%).

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