Q. 94.2( 51 Votes )

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.

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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