'Age' in the Bible

and have tasted and consciously experienced the good word of God and the powers of the age (world) to come,

When God speaks of “A new covenant,” He makes the first one obsolete. And whatever is becoming obsolete (out of use, annulled) and growing old is ready to disappear.

for this [first or outer tabernacle] is a symbol [that is, an archetype or paradigm] for the present time. Accordingly both gifts and sacrifices are offered which are incapable of perfecting the conscience and renewing the [inner self of the] worshiper.

By faith even Sarah herself received the ability to conceive [a child], even [when she was long] past the normal age for it, because she considered Him who had given her the promise to be reliable and true [to His word].