To develop Android applications with Eclipse you could use the following installation method:
Install the Java Platform Development Kit (JDK) Get the 32 bit version (even if you are running on a 64 bit system) of the JDK because the Android SDK will look for the 32 bit version and throw an error indicating that it can't find it. There are work arounds, using the 32 bit version is one of them.
Install latest version of Eclipse. The classic version is recommended for use with Android.