connecting to two computers

Hi,

I've downloaded the free version of Teamviewer on to my PC at home and access it from my laptop. My sister is going on holiday and has asked that i access her computer to keep her correspondence up to date while she's away. Is it possible for her to download Teamviewer and invite my laptop to join her - ie can I be connected to two separate 'host' computers at the same time? Would I be using the same version of Teamviewer or would I need to download a separate one to access my sister's computer? Sorry for the simplicity of the explanation - I'm no IT expert.