Q9 of 25 Page 90

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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