Question

Two tankers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times.

Answer 1

for this add the no. of litres and take out the total volume
850+680=to thetotal volume of the tank

Answer 2

A container can measure 850 liters of petrol an exact number of times(i.e. in integral multiple) if its capacity in liters is a divisor of 850. Also to measure 680 liters of petrol the capacity in liters must also be divisor of 680.

Therefore, the required maximum quantity of the container is the H.C.F of 850 L and 680 L.

Hence the maximum quantity of the container = 170 L.

Required number of times = (5+4) = 9.    (Ans.)