Grasshopper

algorithmic modeling for Rhino

Hi. I would like to generate thee integer numbers with fixed sum. Can anyone give me some guidance for it?

ex)    say that I would like generate x,y,z with graph meeting the conditions below.

      x+y+z =100

     10x+30y+100z =12000 

Thank you for your help in advance.

regards

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A compact solution taken from Wolfram Alpha:

The problem here is an intersection between 2 planes. So most of the times the result is a line.

Not sure if it will work. One thing that I think is necessary is that each unknown value needs to have domain. I will keep thinking. Thank you.

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