This is the 279th most frequent Danish word.
begge
"Begge" means "both" in English.
In this sentence, 'begge' is paired with 'vi' (we) to express that all members of the subject group feel love for books.
Vi begge elsker bøger.
We both love books.
'Begge' is used to refer to 'muligheder' (options), emphasizing that all of the two options were considered.
Han kiggede på begge muligheder før han besluttede sig.
He looked at both options before he decided.
Here, 'begge' is used to describe 'børnene' (children) collectively, indicating that all children referred to are included.