Andrew has a wife and 6 children. Bob asks him their ages (Bob already knows Andrew's age). Since Andrew is a mathematician, he says: "By adding any of my wife and children's ages together, you can obtain all the integers from 1 to 121."
Bob replies: "I still don't know how old they are."
Andrew then says: "I am the oldest in the family."
Bob says: "Now I know how old they are!"
How old is Andrew?
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