If I had to guess I would say the fatter one is female, carrying the eggs within her giving her the larger thickness.
My local Cuban and Tropical gar breeder (or so he says) told me he determines gars sexuality through interactions between them. Males will nudge around the anal fin area of the female, notifying the female he is ready to mate. He said there is no outer distinctions besides the thickness of the fish which can determine their sex, only when they become mature does he sex them through that method.
He told me however, females generally are thicker towards the back while males are slim (slimmer) down their entire bodies.