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A bamboo has 1/5 of its length in mud, 1/4 of it in water and the remaining 11 metres above water . Find the length of the bamboo
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Step-by-step explanation:
Let the length of the bamboo be x metres
length of bamboo in mud= (1/5 × x) m
=x/5 m
Length of bamboo in water=(1/4 × x)m
=x/4 m
Length of bamboo above water= 11 m
By condition,
x/5+ x/4 +11 = x
x/5+ x/4 -x = -11
4x+5x/20 -x= -11
9x/20-x= -11
9x-20x/20 = -11
-11x/20= -11
11x/20=11
x=11×20/11
x=20
The length of the bamboo is 20 metres
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