http://www.geocities.com/nk7jaffna/askmehelpdesk/soap2.JPG

My intuitive answer is that A would get smaller and B bigger, until the pressures equal out after a while.

The forces at work in the soap bubble get weaker as the membrane gets thinner. My 2 cents says the smaller bubble contracts and the larger expands.

More info:
The pressure difference (Inside - Outside) is inversely proportional to the radius of the bubble. The smaller the bubble is, the more force the bubble's surface tension exerts.

This is why a small bubble is always a sphere, whereas a large bubble can be elongated and varying.