There were $$64$$ more buttons in box $$\text{A}$$ than box $$\text{B}$$ at first. Ken then added some more buttons in box $$\text{A}$$. For every $$1$$ button he added to box $$\text{A}$$, he removed $$2$$ buttons from box $$\text{B}$$. The number of buttons in box $$\text{B}$$ became $$28$$ fewer than before. In the end, the ratio of the total number of buttons in both boxes to the number of buttons left in box $$\text{B}$$ was $$4:1$$. How many buttons were in box $$\text{A}$$ at first? 
Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Two Variables