You cut a 90 cm long rope into two pieces. the longer piece is 2 times as long as the shorter piece. what is length of the longer piece and the shorter piece respectively?

Total length of rope = 90 cm

Let the shorter piece be x.

Thus, the length of the longer piece = 2x.

2x + x = 90 

3x = 90

x = 30. 

Therefore, the shorter piece is 30 cm and the longer piece is 60 cm.

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