"The girls and the boys are eating."
Translation:Τα κορίτσια και τα αγόρια τρώνε.
It's short for τρώγουν -- the -γ- gets dropped in most forms in daily speech.
So instead of τρώγω, τρώγεις, τρώγει, τρώγουμε, τρώγετε, τρώγουν it's τρώω, τρως, τρώει, τρώμε, τρώτε, τρων.
But τρων sounds very short so that is often lengthened to τρώνε.
Similarly with other very short verbs such as πάν(ε) "they go", θα φάν(ε) "they will eat" (from υπάγουν, φάγουν).