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.



Secondary School

Math

30 points

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

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byAyushKhurana26.05.2017

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zerodown1024

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

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.