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40 metre....
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Answer:
My rope was 30m long before this cutting fray.
Step-by-step explanation:
Let my rope have an initial length of 'x' m.
Now,
First I lost half of my rope.
Hence, I still have the other half of the rope.
So,
Length of rope now = x(1/2)m
Again I lose (1/3) of the rest of my rope,
which means I have (2/3) of my rope. [1 - (1/3) = (2/3)]
So,
Length of rope now = x(1/2)(2/3)
= x(2/6)
= x(1/3)
= (x/3)m
But we are given,
The final length of my rope is 10m.
Hence,
x/3 = 10m
x = 3 × 10m
x = 30m
Hence,
My rope was 30m long before this cutting fray.
Hope it helped and believing you understood it........All the best
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