document.write( "Question 152197: A rope is 75 ft. long and is cut into 2 pieces where one is 11 ft. long than other. Find their lengths. \n" ); document.write( "

Algebra.Com's Answer #111863 by orca(409) $\"\"$ $\"About$

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Let x be the length of the shorter one, the the length of the longer one is x + 11.
\n" ); document.write( "As their total length is 75, we can set up an equation:
\n" ); document.write( "x + (x + 11) = 75
\n" ); document.write( "Solving for x,we have
\n" ); document.write( "2x + 11 = 75
\n" ); document.write( "2x = 64
\n" ); document.write( "x = 32
\n" ); document.write( "So their lengths are 32 and 43 ft respectively.
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