# find triples of positive integers.

• Sep 15th 2009, 11:20 PM
nh149
find triples of positive integers.
1.Find triples of positive integers (x,y,z) such that xyz+xy+yz+xz+x+y+z=243.
im thinking of using congruence modulo.
• Sep 16th 2009, 12:50 PM
Opalg
Quote:

Originally Posted by nh149
1.Find triples of positive integers (x,y,z) such that xyz+xy+yz+xz+x+y+z=243.
im thinking of using congruence modulo.

Write it as $(1+x)(1+y)(1+z) = 244$, and then think of the possible ways of factoring 244.

• Sep 16th 2009, 01:05 PM
Bruno J.
Why do you and "redcherry" post all the same problems?
I smell spam.

I answered the very same question yesterday here

And then there's this problem and that problem... given that you two have registered almost at the same time, something weird is going on.
• Sep 16th 2009, 03:59 PM
Bingk
They might be classmates that don't know each other, or same class, but different section/teacher, or ... the problem might be coming from the same textbook :) ... Wouldn't quite make sense though if it's spam since Bruno answered on that last link before nh149's post :)
• Sep 17th 2009, 10:02 AM
nh149
maybe we're in the same claz..hehe..
i've to find her or him..;P