It is an olympiad problem. Find all ordered triples of positive integers(a,b,c), Such that 1/a+1/b+1/c=3/4
Till now i got only 1 solutions, but i expect there are more than that.
I brought 4 to the LHS and got 4/a+4/b+4/c=3, it is trivial though, and hence a=b=c=4. Hence from the above one, i got 1 solution. I expect there are many more but could not find it, ido not know what to do next. Please help!
Edit: i found there must be 25 solutions in all