A man wants to cut three lengths from a single piece of board of length 91 cm. Thesecond length is to be 3 cm longer than the shortest and the third length is to be twiceas long as the shortest. What are the possible lengths of the shortest board if the thirdpiece is to be at least 5 cm longer than the second?[Hint: If x is the length of the shortest board, then x, (x 3) and 2x are the lengths ofthe second and third piece, respectively. Thus, x = (x + 3) + 2x 91 and 2x (x + 3)+ 51

A man wants to cut three lengths from a single piece of board of lengt

1.	A man wants to cut three lengths from a single piece of board of length 91 cm. Thesecond length is to be 3 cm longer than the shortest and the third length is to be twiceas long as the shortest. What are the possible lengths of the shortest board if the thirdpiece is to be at least 5 cm longer than the second?[Hint: If x is the length of the shortest board, then x, (x 3) and 2x are the lengths ofthe second and third piece, respectively. Thus, x = (x + 3) + 2x 91 and 2x (x + 3)+ 51
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