This should explain everything.
Can I transfer a content licence from one Xbox 360 console to another?
Yes, you can transfer content licences from one console to another once every four months.
If your console was recently repaired or if you’ve purchased a new console, use the licence transfer option on your console to transfer content licences. Here’s how:
1.On your console, sign in to Xbox LIVE using the gamertag that you used to purchase the content.
•Don't know your gamertag? See Download, move or delete your Xbox LIVE profile.
•Need to find your Microsoft account? See Find your Microsoft account.
•Can't remember the password for your Microsoft account? See Recover your Microsoft account password.
2.Go to Settings and select Account.
3.Go to Your Billing Options and select Licence Transfer.
4.Follow the instructions to transfer the content licences.
After the licences have been transferred, you need to download the content again to update the local licences. Then the content can be used by other profiles on your console and when you’re not connected to Xbox LIVE.
For information about how to download previously purchased content, see Buy and redownload content from Xbox LIVE.
