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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