One-hundred and thirty years old (130)
Hobbits don't actually exist, so the only thing we have to go on is what Tolkien said: The oldest recorded age for a hobbit prior to Bilbo Baggins was the Old Took, who lived to be 130 years old. Bilbo celebrated his 131st birthday before leaving for the Grey Havens. (Since Bilbo and Frodo (and eventually Sam) went to the Undying Lands, technically there's no upper limit, though Bilbo lived the longest of any hobbit in Middle-Earth.)
Frodo left the Shire and went to the Undying Lands where he lived with the elves and doesn't die. Frodo sailed to the Undying Lands to live out the rest of his days in the pure beauty of Valinor. It was not within the authority of the Valar to grant immortality to any being not created so. Tuor was the sole exception to this role. No, they could not give him more life. He went to Valinor to be taken care of and to find rest. There was a story called Frodo's Dreme(sp) where he was mostly lonely in Valinor and died unhappy. It was a dream he had before he went and wrote it in the Red book of Westmarch.
Also known as Valinor, the Undying Lands is a place across the sea where the elves departed to at the beginning of the age of men. It is just like it sounds; lands which never die, and on which beings never die.
Bilbo is 50 years old at the beginning of "The Hobbit."
Frodo was 33 years old when Bilbo adopted him.
Bilbo is 111 years old in "The Lord of the Rings."
Bilbo Baggins was 50 years old at the beginning of "The Hobbit."
Bilbo was 50 years old when he left the Shire in "The Hobbit."
Bilbo is 131 years old when he dies in "The Lord of the Rings" series.
Bilbo was 50 years old in The Hobbit, which was considered middle aged for hobbits.
Bilbo Baggins is 111 years old at the beginning of "The Lord of the Rings" series.
Amor meus immortalis.