What are all the ordered triples of positive integers (x,y,z) with x<y<z, such that their product is four times their sum?

An Excel + Macro solution which by exhaustive random analysis (range 0 to 1000) came up with the folowing solutions:

1-5-24

1-6-14

1-8-9

2-3-10

2-4-6

 

Posted by Fernando on 2007-11-23 14:34:18