It is narrated from Hazrat Ibn Abbas (may Allah be pleased with them both) that at the place of Rauha, some riders met the Prophet (peace and blessings be upon him). The Prophet (peace and blessings be upon him) asked, "Who are you?" They replied, "Muslims." Then they asked, "And who are you?" The Prophet (peace and blessings be upon him) said, "The Messenger of Allah (peace and blessings be upon him)!" A woman raised her child and asked, "Is there Hajj for this one as well?" The Prophet (peace and blessings be upon him) replied, "Yes, and the reward is for you."

Hazrat Tawoos says that a child's Hajj will be sufficient for him until he reaches adulthood.