There are two buckets of oil in a mechanic\textquotesingle s shop. The big one weighs $$89$$ kilograms and the small one weighs $$45$$ kilograms. After two buckets each sell the same amount of oil, the big one is left with $12$ times as much as the small one. How many kilograms of oil in each bucket have been sold? 
Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple