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A man wants to cut three lengths from a ...

A man wants to cut three lengths from a single piece of board of length 91 cm The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board?

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minimum 8 cm , maximum 22 cm .
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A man wants to cut three lenghts from a single piece of board of length 91 cm . The secound length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second? [Hint : If x is length of the shortest board, then x, ( x+3) and 2x are the lengths of the second and third piece, respectively. Thus , x + (x + 3 ) +3x le 91 and 2x ge (x + 3 ) + 5] .

A man wants to cut three lengths from a single piece of board of length 91cm The second length is to be 3cm longer than the shortest and the third length is to be twice as long as the shortest.What are the possible lengths of the shortest.What are the possible lengths of least 5cm longer than the second?

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