Aragorn was born in Fornost, which is north of the shire in Eriador. (First find the shire, and the run your finger up on the map until you see 'fornost'.) When he was two years old he was taken to live in the house of Elrond (in Rivendell), because of the death of his father. His mother went with him also. There he was given the name Estel, which means hope. When he was twenty, he met and fell in love with Arwen.
Here is a little clip from their first meeting.
Quote:
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Then Aragorn wondered, for she had seemed of no greater age than he, who had lived yet no more than a score of years in Middle-earth. But Arwen looked in his eyes and said:"Do not wonder! For the children of Elrond have the life of the Eldar."
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So, it could probably be assumed that Elrond's sons were immortal.
~Airetalathwen