# Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal to 1/3 of the larger part. Then find the length of the larger part.

Let the length of smaller part be 'x' cm and larger part be 'y' cm.

Length of rope = 560 cm

x + y = 560

y = 560 - x eq.[1]

Also,

Twice the length of smaller part is equal to of the larger part

6x = y

6x = 560 - x

7x = 560

x = 80

Using this in eq.[1]

y = 560 - 80 = 480

Therefore,

Length of smaller part = 'x' cm = 80 cm

Length of larger part = 'y' cm = 480 cm

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