A home win made it ten points in two games against Bangor for Tullamore.
Tullamore made it back to back wins over Bangor on Saturday.
Darin Classin's side were 33-12 bonus point winners in Spollanstown thanks to scores from Eoin O'Reilly and Craig Strong, while there were two tries for Eoin Farrell.
While Conor Dunne starred for the Offaly club with both the boot and from open play.
That result moves Tullamore to within seven points of the play-off positions, they'll next be action against Bruff this weekend.
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