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One of them is 9.5 feet long and the other is 7.5 feet long.

Explanation:

Let us take piece one as X and piece two as Y.

1. X + Y = 17

2. X - Y = 2

2X = 19 => X = 9.5

Take statement 2 from above. 9.5 - Y = 2 => Y = 7.

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Q: A rope17 ft long is cut into 2 pieces one piece is 2 ft longer than the other what are the lenghts of the pieces?
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