The Temptation of Jesus in Matthew 4:1-11 and Luke 4:1-13

The temptation of Jesus in account is one area that has confused people, even Christians. Christians get berated by the typical skeptic over Bible's alleged contradictions. So how can it be resolved? Here's where the accounts actually do differ: in Matthew's account, the final event that Matthew shows was the fact that Satan demanded Jesus to worship him and in Luke, is where Satan tried to get Jesus to commit suicide by jumping off the pinnacle of the temple. So which did come first? Now it's time to realize that there are ways that a history book or a novel ever gets written- by topic or by chronological order.

Here's a quote from the "Apolegetics Press":
Open almost any world history textbook and you will see that even though most events are recorded chronologically, some are arranged topically. For example, in one chapter you may read about the European civilization in the late Middle Ages (A.D. 1000-1300). Yet, in the very next chapter you might learn about Medieval India (150 B.C.-A.D. 1400). Authors arrange textbooks thematically in order to reduce the confusion that would arise if every event in world history textbooks were arranged chronologically. Even when we rehearse life experiences to friends and family, oftentimes we speak climactically rather than chronologically. A teenager may return home from an amusement park and tell his father about all of the roller coasters he rode at Six Flags. Likely, rather than mentioning all of them in the order he rode them, he will start with the most exciting ones and end with the boring ones (if there is such thing as a "boring" roller coaster).

Apparently, Luke has some areas in his writings that were done rather thematically than chronologically (like the sayings of Jesus and the parables which most of them are REAL incidents like how the story of the rich man and Lazarus is more than a parable, it was a real incident) suggesting that he did not write the second and third events according to their order in contrast to Matthew and vice-versa. Instead, the way of narration differed between the two writers.