three water tanks of volumes 90 litres,18 liters and 72 litres have to be emptied out with the help of a smaller container. Find the largest capacity container that can exactly measure out the water without leaving anything in any of the three drums.
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Answers
Hey mate,..
to solve the question, we have to find the hcf of 90,18 and 72, just that the question is asked a bit twisted
hcf of 90,18 and 72 is 18 . hope u know how to find hcf.
and the measurement for each drum as an exact number will be 5,1 and 4 respectively.
Hope it will help you
Three water tanks of volumes 90 litres ,18 liters and 72 litres have to be emptied out with the help of a smaller container.
We have to find the largest capacity container that can exactly measure out the water without leaving anything in any of the three drums.
For this we need to find the HCF of 90,18 and 72.
The full form of HCF is Highest Common Factor.
Answer = 18
Solution :-
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 18.