A man wants to cut three pieces from a single piece of board of length 47m. The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece. What are the possible lenghts of the shortest board if the third piece is to be at least 5m longer than the second?

A man wants to cut three pieces from a single piece of board of length 47m. The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece. What are the possible lenghts of the shortest board if the third piece is to be at least 5m longer than the second?

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