The man has just dropped off the twin boys and was heading back. When the man was heading back a wolf came out and thought the two boys were her cubs so she took care of them. She made a den and nursed them until they were old enough.
This is the part of the story when the shepherd's dog finds the two boys walking by themselves and gets the shepherd. When the shepherd comes and picks them up and takes them to his home. The shepherd decided to rise the twins by himself. As the twins grow older they learned more and more about who they were. They were from a royal family and one of them were going to be king. So they went to a small town called Alba Longa.
This slide shows that the twins returned to there hometown and were going to try to become kings. They realized there could alone be one king so they had to fight with swords.
This is when the twin brothers fight and Remus fell to the floor and died.
This is when Romulus kills Remus with a sword and Romulus becomes a new king.