Notice would have to be given to the landlord/agent for a full rental period (usually calander months) to bring the agreement to an end. If they are still within the term of the agreement they are both liable for rent for the full term. If no such notice has been given both remain equally liable until otherwise. If such notice has been given, the tenancy under that agreement ends which, in this case, means it ends for both parties. To allow one party to stay would require a new agreement.
If the agent has accepted notice from one tenant and allowed the other to stay, repaid 50% of the deposit etc, then it could be argued that, through the actions of the agent, the tenancy agreements were individual, not joint, and your brother is only liable for 50%.
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