Index: wp-includes/class-wp-admin-bar.php
===================================================================
--- wp-includes/class-wp-admin-bar.php	(revision 19546)
+++ wp-includes/class-wp-admin-bar.php	(working copy)
@@ -352,8 +352,8 @@
 
 	public function add_menus() {
 		// User related, aligned right.
-		add_action( 'admin_bar_menu', 'wp_admin_bar_search_menu', 10 );
-		add_action( 'admin_bar_menu', 'wp_admin_bar_my_account_menu', 20 );
+		add_action( 'admin_bar_menu', 'wp_admin_bar_search_menu', 0 );
+		add_action( 'admin_bar_menu', 'wp_admin_bar_my_account_menu', 0 );
 
 		// Site related.
 		add_action( 'admin_bar_menu', 'wp_admin_bar_wp_menu', 10 );