Luke said that those friends of the centurion, who had been sent to Jesus (οἱ πεμφθέντες), returned to the centurion’s house (καὶ ὑποστρέψαντες εἰς τὸν οἶκον). There, they found the slave in good health (εὗρον τὸν δοῦλον ὑγιαίνοντα). There is a slightly different ending to this healing of the centurion’s servant in Matthew, chapter 8:13, where Jesus talked about the failure of the sons of Abraham. He then told the centurion to go home. The healing was going to take place as he had believed that it would. Simply the word of Jesus, not his presence would cure his servant. Then Matthew indicated that at that very moment, at that very hour, the servant was healed, without the presence of Jesus. In both gospel stories, the servant was healed without Jesus being physically present to do so, due to the great faith of this non-Israelite Roman centurion person. What kind of faith do you have?
Interesting enough, Luke has the friends of the centurion speak in the first person singular to indicate that these are the exact words of the centurion. The centurion said that he was a man who was appointed by authority (καὶ γὰρ ἐγὼ ἄνθρωπός εἰμι ὑπὸ ἐξουσίαν τασσόμενος) with soldiers under him (ἔχων ὑπ’ ἐμαυτὸν στρατιώτας). He would say to one go (καὶ λέγω τούτῳ Πορεύθητι) and he went (καὶ πορεύεται). He would say to another come (καὶ ἄλλῳ Ἔρχου) and he came (καὶ ἔρχεται). He would tell his slave to do something (καὶ τῷ δούλῳ μου Ποίησον τοῦτο) and he would do it (καὶ ποιεῖ). This saying of the centurion is exactly the same as in Matthew, chapter 8:9, perhaps indicating a Q source. In Matthew, the Roman centurion spoke for himself directly to Jesus, but the message was the same. This centurion understood authority, since he was a Roman solider under the authority of his superiors and yet at the same time, he had soldiers under him. Thus, if he said to any of them to go or come, they would do precisely that. The same would be true of his slaves who would do whatever he told them to do. Are you willing to obey the commands of Jesus?