Answer :

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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