Change in surname

Hello, Thanks in advance.. My surname in ssc certificate was recorded wrong and the same wrong name got recorded in intermediate and degree certificates as well.. However the surname in my Aadhar card is correct.. Should I change my surname in all the three documents to the correct one or I should change my surname in Aadhar card to that which is in the certificates? Changing the surname in all the certificates is good but it consumes a lot of time.. Can I continue my whole life with the same surname which is not correct by changing it in Aadhar card? Will it become an issue at anytime in future? I applied for a govt job and worried if they would reject in some case.. Please let me know how to proceed.. Thanks