Processing math: 100%
 
+0  
 
+13
367
2
avatar+483 

Suppose that x,y,z are positive integers satisfying xyz, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of z?

 Nov 25, 2021
 #1
avatar
0

The only triple that works is (x,y,z) = (2,2,4), so the sum of all possibe values of z is 4.

 Nov 25, 2021
 #2
avatar+483 
+2

I'm sorry, but this is wrong

abcdefghijklmnopqrst  Nov 25, 2021
edited by abcdefghijklmnopqrst  Nov 25, 2021

3 Online Users