Help! new addition suggestions needed

I'm doing a 2 floor addition to my house and need help wit a bit of a situation. The first floor is already built and even with the existing house.

The second floor of the existing house has 2x10 joists and for the new addition I have to use 2x12 to cover the span.

Easiest thing would be to chop 2 inches off the height of the first floor ceiling but I am hesitant to do that because its the kitchen/dining area and I want a nice open feel.

Anyone have any brilliant ideas on hiding a 2" height gap or am I just fussing over a non issue?

Submitted May 30, 2015 at 08:55AM by jmezz2 http://ift.tt/1FkUhXz