You can read HKEY_CLASSES_ROOT\word.application\curver registry key's default value for word version
You can read HKEY_LOCAL_MACHINE\Software\Microsoft\Internet Explorer registry key's Version value for ie version.
Here is the sample
string word = Registry.ClassesRoot.OpenSubKey(@"word.application\curver").GetValue("").ToString();
Console.WriteLine("Word Version:" + word);
string ie=Registry.LocalMachine.OpenSubKey(@"Software\Microsoft\Internet Explorer").GetValue("Version").ToString();
Console.WriteLine("IE Version : " + ie);