| DM_Blake |
DR always overlaps unless you have a source that specifically states it stacks with other DR. Those don't say such a thing, so they overlap (no stacking).
If you get attacked by something with no way to bypass your DR, then you have the highest one: DR 10. If the enemy has an adamantine attack, then it bypasses the DR 10 but not the DR 5, so you only get DR 5.
There will never be a time where this character would get DR 15 from those two sources.