I am running the following command to update my TypeScript version from 1.8.5 to 2.0.7 :
npm install -g typescript
it shows as -
Down load "TypeScript_Dev12.exe" and run it.
After successfully installing, you will find "C:\Program Files (x86)\Microsoft SDKs\TypeScript\2.0" in your system. Copy that path.
Now go to Environment Variables->System Variables->Path, now click on edit. Remove old path of type script and add new path over there.
Now restart your system. You will now find 2.0 as your typescript version.