. 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.
Answers
Answer:
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.
Step-by-step explanation:
Given, the capacity of 1st tank =850 liters
And the capacity of 2nd tank= 680 liters
Now, the maximum capacity of a container which can measure the kerosene oil of both the
tankers when used an exact no.of times = HCF of 850 and 680
850 = 2 * 5 * 5 * 17
680 = 2 * 2 * 2 * 5 * 17
HCF(850, 680) = 2 * 5 * 17 = 170
Hence, the container which can measure petrol of either tank exactly must be of 170
liters.