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.
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Answer:
the length of the larger part. = 480 cm
Step-by-step explanation:
a rope of length 560 cm divided into 2 parts
Let say Length of Larger Part = L cm
then Length of Shorter Part = 560 - L cm
Given twice the length of the smaller part is equal to 1/3 of the larger part.
twice the length of the smaller part = 2(560-L) = 1120 - 2L cm
1/3 of the larger part. = L/3
1120 - 2L = L/3
=> 3360 - 6L = L
=> 7L = 3360
=> L = 480
the length of the larger part. = 480 cm
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