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Need help proving/disproving

Name: Anonymous 2009-05-29 1:13

I'm not sure how to best phrase this, so bear with me:
If you're given
abc = xyz
and
a+b+c = x+y+z
where a, b, c, x, y, z are all positive integers, is there a way to prove or disprove a = x, b = y, c = z?

I want to know if an integer shown in this way is unique.

Name: Anonymous 2009-05-29 17:12

1+5+8 = 2+2+10 = 14
1*5*8 = 2*2*10 = 40

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