So here's the problem:-
Find four distinct positive integers whose product is divisible by the sum of every pair of them.
I am having difficulty understanding what this means, as it can be interpreted 2 ways-
Find positive integers a,b,c,d such that ab+ac+ad+bc+bd+cd divides a abcdii
Find positive integers a,b,c,d such that:-
a+b divides abcd
a+c divides abcd
a+d divides abcd
b+c divides abcd
b+d divides abcd
c+d divides abcd
Which way is correct?