Jerome has two containers labelled X and Y, If X can hold 21 litres of liquid and Y can hold 102 litres of the same liquid, explain how he can use his two containers to have exactly three litres of liquid.

Question

anonymous · Answer

It has to do with gcd (greatest common divisor)

lgbasallote · Answer

uhmmm he fills up the 21 liter and transfer it to 102 L...then do it again...there are now 42 liters in 102 L can....do it again...there are now 63 L in the can...again...there are now 84 liters in the can...if he fills up the 21L can and transfer it to the 102 L can up to the brim, he now has 3 L left in the 21 L can

anonymous · Answer

Thanks @lgbasallote , I got the answer using matrix method but wanted to be sure :)

lgbasallote · Answer

i prefer the manual way :p

anonymous · Answer

i get confused with the manual way :P