SOLUTION: Find all the sets of numbers x, y and z such that 1/x + 1/y + 1/z = 1.

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Question 277580: Find all the sets of numbers x, y and z such that 1/x + 1/y + 1/z = 1.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
1 and 3
sry i ran out of time at work just now got back to a computer but if u look at the problem theres only a few possiblilities to = 1, so if 1=x 1=y 1=z then 1%2F1%2B1%2F1%2B1%2F1=1 if 3=x 3=y 3=z then1%2F3%2B1%2F3%2B1%2F3=3%2F3 if u try any other number like 4 1%2F4%2B1%2F4%2B1%2F4=3%2F4 doesnt equal 1 if they were different numbers say 2=x 3=y 4=z 1%2F2%2B1%2F3%2B1%2F4=16%2F12%2B4%2F12%2B3%2F12=13%2F12 not 1
so just by looking at the problem I came to the 1 and 3 since those are the only logical answers for x,y,z so x=(1,3) y=(1,3) z=(1,3)