word problem,a piece of rope is cut into 2 parts in the ratio of 3:5 . The longer part is 16 cm longer than the shorter part . Find the length of the original rope and the length of the longer part.
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Let the length of shorter part be 3x
and longer part be 5x
According to the question
5x =3x +16
5x-3x = 16
2x = 16
x = 8
Length of shorter part = 3x = 3×8= 24 cm
Length of longer part = 5x = 5×8= 40 cm
Length of original rope = (24+40 ) cm = 64cm
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