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Question

Two tankers contain $$850\ litres$$ and $$680\ litres$$ of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.


Solution

Clearly, the maximum capacity of the container is the $$HCF$$ of $$850$$ and $$680$$ in litres.
So, Let us find the $$HCF$$ of $$850$$ and 
$$680$$ by Euclids algorithm.

Clearly, $$HCF$$ of $$850$$ and $$680$$ is $$170$$.

Hence, capacity of the container must be $$170$$ litres.

1055736_1008064_ans_f04e9f68df134d298983121bef1779c5.png

Mathematics

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