Mark identifies this man as simply one who came running and knelt before Jesus. At the end of the account we are told he had great possessions (v22). Luke’s account tells us he was a ruler (Luke 18:18). Matthew 19:20 tells us he was young, thus he is called “the Rich Young Ruler!”
He expresses a great desire to be right with God, but he was clearly unwilling to part with his possessions.
Perhaps the most interesting statement is when it says in verse 21 that Jesus, looking at him loved Him. We know Jesus loves us all! How do you understand that statement about Jesus and the rich young ruler?