Numbers says Edom refused to let Israel through. In Deuteronomy the LORD tells Israel to pass through their border and buy food from them. How do the two fit?

Here is what each passage says. Numbers tells of messengers sent "from Kadesh to the king of Edom" (Numbers 20:14): "Please let us pass through your land… We will go along the king’s highway" (20:17). Edom answered, "You shall not pass through me, lest I come out with the sword against you" (20:18), and came out "with many people, and with a strong hand" (20:20), "so Israel turned away from him" (20:21) and traveled "to go around the land of Edom" (21:4). Deuteronomy tells the LORD's command: "You are to pass through the border of your brothers, the children of Esau, who dwell in Seir; and they will be afraid of you. Therefore be careful" (2:4), "You shall purchase food from them for money" (2:6), and then "we passed by from our brothers, the children of Esau" (2:8). Later Moses tells Sihon, "Just let me pass through on my feet, as the children of Esau who dwell in Seir, and the Moabites who dwell in Ar, did to me" (2:28-29); the verse doesn't say which part of that request they granted. Other passages add more: the law says Ammonites and Moabites "didn’t meet you with bread and with water on the way when you came out of Egypt" (23:4), and Jephthah, telling the same journey, says that "the king of Edom didn’t listen", that Israel "sent to the king of Moab, but he refused" (Judges 11:17), and that Israel then "went around the land of Edom, and the land of Moab" (Judges 11:18). Neither Numbers nor Deuteronomy says how its account fits with the other. Each is given here as it stands.