Hello,

Yes its necessary that both the address are same. As aadhar is considered as identity proof so you have make similar changes as in your aadhar card.

Now if you address are different you can add you another proof other than aadhar like passport or driving license.

But if you taking aadhar as a proof then change your address from the aadhar site that is

https://uidai.gov.in/images/commdoc/valid_documents_list.pdf

From this website.

Hope this helps!!