Remortgage-(Ex-moved out) Single Application

Hi,

Thank you in advance.

Can't get my "head" round this. But think it can be done??

Ex moved out a while ago. House worth approx £130.000.

Mortgage in JOINT names. I'm still paying. (Outstanding balance £100,000).

QUESTION)
Can I buy the house I.e via a remortgage (existing or new company) in MY name only using the difference between as the deposit?? Therefore I only would need an £100k mtg, but the LTV would be approx 75% (ish).... Thus no "actual deposit handed over"
Does this make sense?

You may ask what do I need to give to her? I did a "trust deed" 7 yrs ago. Hence she would accept £5k... (I have this in an isa).. (It would all be completed via a solicitor)..

Is it possible? Thus I own the house. Thans again!

Have a great Christmas! & Thank You....