India were chasing 364 and looked to be on course with Murali Vijay and Virat Kohli batting well at one stage.
India were cruising but Nathan Lyon provided Australia the crucial breakthrough, dismissing Vijay for 99.
After that, the Australian off-spinner simply ripped through the Indian batting line-up, picking 7/152. From being 242/3, India were dismissed for 315.
The match was also the debut for leg-spinner Karn Sharma and remains the only Test match he played.
Kohli scored a ton in both innings, but David Warner, Michael Clarke and Steve Smith were among the runs for the Aussies.
All three of them scored centuries and this helped Australia take charge.
Lyon was named man-of-the-match for his incredible spell on the final day.
First Published: December 13, 2018, 3:54 PM IST