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A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece? Correct Answer (2L+1)/3

Let length of piece A = 2x - 1 length of piece B = x 2x - 1 + x = L = >3x - 1 = L = >x = (L + 1)/3   length of piece A = 2[(L + 1)/3] - 1 = (2L + 2 - 3)/3 = (2L - 1)/3 

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