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Here is how to solve this type of problem:

Since you have 2 pieces that add up to 130 figure out what they would be if they were of equal length.

If one piece is 26 feet longer than the other that means one piece is half of 26 longer than half of 130, the other is shorter by the same amount, so...

130/2=65

26/2=13

65+13=78

65-13=52

Lets see if that adds up. 78+52=130, so that's good. 78-52=26 so that is good as well. One piece is 78 feet long, the other is 52.

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Q: When two pieces of rope are placed end to end their combined length is 130 feet. When the two are place side by side one is 26 feet longer then the other. What are the lengths of the two pieces?
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