🚀 go-pugleaf

I was fascinated by the following problem in a multiple choice question book on
physics:

When two soap bubbles of unequal size are connected by a tube, what happens to
the bubble sizes?

The unexplained answer of the book was that the larger bubble becomes larger, 
while the smaller bubble becomes smaller.

At first I couldn't believe the answer!

A friend of mine suggested that the air pressure inside the larger bubble is
less than that in the smaller bubble because the radial component of the
"outward" surface tension force around a small region of the bubble's surface
is less in the larger bubble because of the lesser curvature. His explanation
appeared reasonable to me for a while, but then I said to him, "What about
the radial component of the "INWARD" surface tension around the small region?"
My friend said, "If you talk about the "inner" part of the differential region,
you will be violating a fundamental law of differetial calculus" !! I know I
disagree with him on that, but right now this soap bubble problem simply
appears to confuse me.

Help, please!

Kiran