What does Luke 24:24 mean?

Mary Magdalene had been at Jesus' cross, at His death, and at His grave when Joseph of Arimathea rolled the stone over the entrance. At first light on Sunday, she and several other women went to add to the aromatics Nicodemus had wrapped around Jesus' body. When the women arrived, the stone had been rolled away and Jesus' body was gone (John 19:25, 38–42; Mark 15:42–47; Luke 24:1, 10).

Mary immediately ran off to tell Peter and John (John 20:2). Peter and John rushed to the site: John arrived first, but Peter was first to enter the tomb. Mary was right. The tomb was empty. The men returned to the room where the other disciples were waiting (John 20:3–10).

Cleopas and his friend had been in that room with the other male disciples. They heard Peter and John corroborate the women's account that the tomb was empty. They also heard the women say they had met an angel who told them Jesus had risen from the dead (Luke 24:22–23). They believe Peter and John's claim that the tomb is empty. They don't believe the women that He is raised from the dead. Confused, Cleopas and his friend left Jerusalem and headed for the village of Emmaus.

Along their way, they met another traveler. At His request, Cleopas told the story of Jesus' crucifixion and the shockingly empty tomb. The traveler proceeds to explain that all of this had to happen. Jesus had to "suffer these things and enter into his glory" (Luke 24:26). The Old Testament prophets predicted it (Luke 24:27).

The two men listen to the traveler until they reach Emmaus, then invite Him to eat with them. When the traveler breaks the bread, blesses it, and disappears, they realize they've been talking to Jesus all along (Luke 24:28–32).