Punctum Saliens

I came across something in the Gospels that I’ve never noticed before. There is apparent(?) disagreement between the stories of the Roman centurion who asked Jesus to heal his servant as told in Matthew 8:5-13 and Luke 7:1-10.

In Matthew, the centurion talks to Jesus directly and asks him to heal his servant. Jesus agrees to come to the centurion’s house but the centurion says that Jesus must only say the word and the servant will be healed.

In Luke, the centurion sends some Jewish elders to ask Jesus to come to the centurion’s house. Then, as Jesus approaches, the centurion sends some friends to tell Jesus that he must only say the word. Luke 7:7 explicitly states that the centurion did not talk to Jesus directly since the friends relay the following message to Jesus: “for this reason I did not even consider myself worthy to come to You …”

What’s up with that? How are these two accounts reconciled?