SOLUTION: A rope is 75 ft. long and is cut into 2 pieces where one is 11 ft. long than other. Find their lengths.

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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.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the length of the shorter one, the the length of the longer one is x + 11.
As their total length is 75, we can set up an equation:
x + (x + 11) = 75
Solving for x,we have
2x + 11 = 75
2x = 64
x = 32
So their lengths are 32 and 43 ft respectively.