<PRE><B>Question 667978</B>
51 inch board to three pieces.

Piece two is 2 x piece one.

Piece three is three inches longer than the first piece. 

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Let the length of the first piece (in inches) be x, the length of the second piece be 2x, and the length of the third piece be x+3.

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{{{x+2x+(x+3)=51}}}
{{{4x+3=51}}}
{{{4x=51-3}}}
{{{4x=48}}}
Therefore: {{{x=12}}}

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Now substitute x=12 into the other two lengths. 

Piece one = x
=12 inches

Piece two = 2x
=2(12)
24 inches

Piece 3 = x+3
=12 + 3
=15 inches.
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Therefore, pieces one, two, and three are 12, 24, and 15 inches long, respectively.</PRE>