A certain set of positive integers (a,b,c) causes the sum of their reversals (i.e. S=1/a+1/b+1/c) to be the closest to 1/2 without equaling or exceeding it.

Find S.
Explain your method.

(In reply to solution (to tedious to do manually) by Charlie)

Shouldn't we start with a <= b <= c ?  It does not seem to make a difference if our target is 1/2, but it could make a difference for other targets.

Posted by Steve Herman on 2020-05-15 10:20:43