# It's an Age Problem

Algebra Level 2

There are 3 brothers, Andrew, Bernard, and Charlie. Bernard's age is $$12$$ years older than Andrew. Five years ago, the ratio between Bernard and Charlie's age was $$2:3$$. 4 years after now, Charlie's age will be $$3$$ times of Andrew's age one year before. What is the sum of their ages, when Andrew's age is 17?

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