January 3rd, 2014, 11:33 PM  #1 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  find solution
find solution : 
January 4th, 2014, 12:13 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: find solution
I only find (3, 2, 2, 2) after invoking a numerical search. Perhaps this can be approached by noting that x, y, z < w and / or analysing errors of x, y, z with 1/3 * w / etc...?

January 7th, 2014, 02:17 AM  #3 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: find solution
let : we have : we get : 

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