Antivirus Zap 3.5.0
I had the same issue even though path variables were set exactly as per the instructions. After going through multiple files I finally got it resolved. For me (Windows 7 enterprise 64 bit) I had to modify check_reqs.js and create.js from "C:\Users\.cordova\lib\android\cordova\3.5.0\bin\lib\" folder to include absolute path for the android.bat. My android SDK is under "C:\Android\android-sdk".
Antivirus Zap 3.5.0
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For those who have encountered this problem I add something extra that can be helpful, in my case had all the variables properly configured and this was still unable to add android platform and I did was disable my avast antivirus and puff! everything flowed smoothly, what was happening was that the antivirus was blocking the creation of the platform. 041b061a72