The Catholic Church does not know with any exactitude the real timeline of the Apostle Peter. So much of this question is simply based on tradition.
For the most part, it is believed that the Apostle St. Peter was born in Bethsaida (John 1:42, 44), about the year 1 AD.
St. Peter's true and original name was Simon, sometimes occurring in the form Symeon. (Acts 15:14; 2 Peter 1:1). He was the son of Jona (Johannes) and was born in Bethsaida (John 1:42, 44), a town on Lake Genesareth, the position of which cannot be established with certainty, although it is usually sought at the northern end of the lake. The Apostle Andrew was his brother, and the Apostle Philip came from the same town. - St. Peter, Prince of the Apostles
As for how and when the Apostle St. Peter died, it is traditionally believed that he died between 64 and 67 AD and was crucified upside down at Rome. That makes St. Peter between 63 and 66 years old when he died. Historical documents are not more sure of anything more exact. One can read what the Catholic Encyclopedia has to say on this subject. Some even claim he died in 55 AD.
Here is a traditional way of reading about St. Peter's death.
Saints Peter and his older brother Andrew. Both were crucified as old men. Peter was, of course, our first pope, Christ’s Vicar, the head of the visible Church. Andrew was the first called by Christ to be an apostle. He was a disciple of Saint John the Baptist. Andrew was there when John pointed at Jesus on the banks of the River Jordan and said: “Behold the Lamb of God!” Andrew followed Christ after His holy baptism and innocently asked Him where He lived. Jesus innocently answered: “Come and see”. Saint Andrew preached the Faith in Asia Minor (Turkey) and in Scythia, east of Turkey (north of Iran). He also preached in Greece and Macedonia. He was crucified in Achaia at Patras in the year 61. Tied to an X-shaped cross after being scourged, he made the cross his pulpit and preached to the people for two days before he died. Peter was martyred under the Nero persecution in the year 67. Peter, too, was, as His Master, crucified by nails on Vatican hill. His wish to be crucified upside down, out of reverence for Jesus, and out of his profound humility, was granted. Saint Paul, the Apostle, was beheaded on the same day as Peter outside the walls of Rome. - How Did the Apostles Die?
Other Catholic websites will state that he died in the year 64 AD.