Question

15. Two tankers contain 800 and 640 litres of petrol respectively. Find the maximum capacity
of a container which can measure the petrol of both the tankers when used an exact number
of times.​

Answer 1

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Answer 2

Answer:

160 litres

Step-by-step explanation:

Capacity of the 1st tank = 800 litres.

Capacity of the 2nd tank = 640 litres.

Therefore, the max. capacity of a container, which can measure the petrol of either tanker in exact number of litres = HCF OF 800 and 640.

HCF of 800 and 640 is

800 = 2x2x2x2x2x5x5

640 = 2x2x2x2x2x2x2x5

Therefore,HCF = 2x2x2x2x2x5 = 160

So, The maximum capacity of the container is 160 litres.

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