A 163-run partnership between Mark Adair and Andrew McBrine avoid innings defeat.
England name unchanged squad for first two Ashes Tests.
Ollie Pope crashes his maiden Test double hundred and Ben Duckett helps himself to 182 on a completely one-sided Test against Ireland.
Broad claimed 5-51 and was supported by 3-35 from left-arm spinner Jack Leach in Ireland all out on 172.
England recall Jonny Bairstow in place of Ben Foakes for Ireland Test, but fast bowler Jofra Archer is ruled out for the summer.
India pip Australia at the top of Test Team Rankings ahead of WTC Final.
