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## QuestionMath

$$\dfrac{1}{3}rd$$ part of the length of a bamboo is coloured red and $$\dfrac{1}{5}th$$ part of its coloured green and the remaining $$14m$$ is coloured yellow. Find the length of the bamboo.

Given,$$\dfrac{1}{3}rd$$ part of the length of bamboo is colored red and $$\dfrac{1}{5}th$$ part of its colored green.

Remaining part of the bamboo is $$1-\dfrac{1}{3}-\dfrac{1}{5}=\dfrac{7}{15}$$.

Then according to the problem we've,

$$\dfrac{7}{15}$$ part of the bamboo $$=14$$ m

Then the length of the bamboo is $$=\dfrac{15}{7}\times 14=30$$ m.
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