Question

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

Answer 1

The capacity of required container will be obtained by finding the HCF of the capacity of tankers -

850 = 2×5×5×17

680 = 2×2×2×5×17

Common factors of 850 and 680 = {2,5,17}

HCF = 2×5×17
= 170

Answer) The container which can measure petrol of either tank exactly must be of 170 litres.

Answer 2

Solution :-

here, given

Capacity of the 1st tank = 850 litres.

Capacity of the 2nd tank = 680 litres.

Therefore, the max. capacity of a container, which can measure the petrol of either tanker in exact number of litres = HCF OF 850 and 680.

HCF of 850 and 680 is

850 = 2x5x5x17

680 = 2x2x2x5x17

Therefore,HCF = 2x5x17 = 170

So, The maximum capacity of the container is 170 litres.

HOPES IT HELPS !!!!!!!
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#akashmandal.