Jesus' temptations
The evangelists indicate the salvific meaning of this mysterious event: Jesus is the new Adam who remained faithful just where the first Adam had given in to temptation. Jesus fulfils Israel's vocation perfectly: in contrast to those who had once provoked God during forty years in the desert, Christ reveals himself as God's Servant, totally obedient to the divine will. In this, Jesus is the devil's conqueror: he "binds the strong man" to take back his plunder. Jesus' victory over the tempter in the desert anticipates victory at the Passion, the supreme act of obedience of his filial love for the Father.
Source: Catechism of the Catholic Church (Vatican.va)