There were no records of birth kept during the Bronze Age.
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According to Apollodorus Achilles was 15 when they set off at the first gathering at Aulis which was 8 years before the Trojan War proper and 17 years before the end of the 9th year of the war, so Achilles was at least 32 when he died. But if you accept Apollonius' account of Achilles being born at the time of the voyage of the Argo then he was about 62.
Both Herclues and Achilles were born half-god, Hercules by his father: Zeus, and Achilles by his mother: Thetis. Thetis further attempted to make Achilles invulnerable by dipping him in the Styx.
Achilles
Achilles is not a historical person, he is in the myths.He was born in Phthia in ancient Greece the southernmost region of ancient Thessaly.
Odysseus did not kill Achilles. Paris killed Achilles.