The integers 1, 2, 3 have the property that each divides the sum of the other two. Indeed, for each positive interger a, the integers a, 2a, 3a have the property which each divides sum of the other two. Describe that the following statement is false.
There exists the example of three distinct positive integers dififferent from a, 2a, 3a for some a belongs to N having the property that each divides the sum of other two.