People people are surprised to that find that intelligence and wisdom are too different traits in a person. You can say that intelligence is more of a measure of raw problem solving and information processing ability. While wisdom is related to intelligence, wisdom is also influenced by decision making ability and previous experiences.
Because of these elements, people usually become more wise the more experience they have. It is the reason why people tend to listen to older individuals who may not necessarily be more intelligent, though hold more experience. This does not apply to everyone, as many people never grow up and/or refuse to learn from their mistakes.