Chewbacca was born in 200 BBY. BBY stands for "Before Battle of Yavin," and works the same way BCE works.
The Phantom Menace takes place in 32 BBY, so in that movie, he is 168 years old.
Attack of the Clones takes place in 22 BBY, so in that movie, he is 178 years old.
Revenge of the Sith takes place in 19 BBY, so in that movie, he is 181 years old.
A New Hope takes place in 0 BBY, so in that movie, he is 200.
Empire Strikes Back takes place in 3 ABY (after battle of yavin, works like CE), so in that movie, he is 203.
Return of the Jedi takes place in 4 ABY, so in that movie, he is 182 years old.
Force Awakens takes place in 34 ABY, so in that movie, he is 216 years old.
I hope this helps, it took me a while to research this so please mark me brainliest :D
