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a forty-foot rope was cut into two pieces. The length of one piece is 9 times the length of the other. What is the length of the longer piece?

A forty-foot rope was cut into two pieces. The length of one piece is 9 times the length of the other. What is the length of the longer piece?
In the question , the length of the actual rope is given as 40 foot. Also it is given that the length of one rope after cutting the original piece of rope into 2 pieces is 9 times that of the other pice. Let us assume that the length of one piece of rope is = XThen the length of the orther pice of rope = 9XNow we can easily get the equation X + 9X = 4010X = 40X = 40/10X = 4So the length of the shorter rope is 4 foot.The length of the longer rope is 9 times that of the shorter one.So the length of the longer rope is 36 foot.  ...

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