An Axiomatic Elf Elemental Savant walks into a bar...

[andargor]

...and gets hit with a Maximized Fireball (10d6) from the barkeep (spell resistance fails, saving throw succeeds).

He has 10 fire resistance from Elemental Savant, and 20 fire resistance from Axiomatic (assume CL 12).

Does he take:

- 0 hp damage? (60/2 = 30, 30 - 20 - 10 = 0)
- 10 hp damage? (60/2 = 30, 30 - 20 = 10)
- 15 hp damage? (60 - 20 - 10 = 30, 30/2 = 15)
- 20 hp damage? (60 - 20 = 40, 40/2 = 20)

Andargor (who may be blind)

 

[Camarath]

I believe the answer is 10 hp damage. I can try and find the supporting rules quotes if you wish.

 

[Azazu]

Personally i would say that he takes 10 damage. I would rule that the fire resistances dont stack but that the higher applies. He made his save so he only takes half damage, and his fire resistance is applied to that. So 30-20=10 damage.

 

[andargor]

I will have to agree, 10 hp. The only quotes that I could find are:

RESISTANCE TO ENERGY

A creature with resistance to energy has the ability (usually extraordinary) to ignore some damage of a certain type each round, but it does not have total immunity.
Each resistance ability is defined by what energy type it resists and how many points of damage are resisted. It doesn’t matter whether the damage has a mundane or magical source.
When resistance completely negates the damage from an energy attack, the attack does not disrupt a spell. This resistance does not stack with the resistance that a spell might provide.

Which is iffy, but this is better:

COMBINING MAGICAL EFFECTS
...
Same Effect More than Once in Different Strengths: In cases when two or more identical spells are operating in the same area or on the same target, but at different strengths, only the best one applies.

So that's that

Andargor

 

[AuraSeer]

Like SR, energy resistance from multiple sources overlaps.

 

[Gaiden]

...and gets hit with a Maximized Fireball (10d6) from the barkeep (spell resistance fails, saving throw succeeds).

He has 10 fire resistance from Elemental Savant, and 20 fire resistance from Axiomatic (assume CL 12).

Does he take:

- 0 hp damage? (60/2 = 30, 30 - 20 - 10 = 0)
- 10 hp damage? (60/2 = 30, 30 - 20 = 10)
- 15 hp damage? (60 - 20 - 10 = 30, 30/2 = 15)
- 20 hp damage? (60 - 20 = 40, 40/2 = 20)

Andargor (who may be blind)

10 hp damage. I am not going to bother looking up the source, but that is definitely the way it works - multiple sources of resistance don't stack, they overlap, just like spell resistance, temporary hp, or the same type of modifier to a die roll.

However, both as a player and a DM, I hate it when class/racial/template/etc. abilities are wasted because you already have the same ability. In such cases I like to have the two abilities if not stack at least synergistically effect one another. In the case of your axiomatic savant I probably would not want to just hand out the 30 fire resistnace. Rather I'd probably add some fraction of the lesser resistance and add it to the greater using some similar mechanic elsewhere in the rules. (Again, not going to bother finding the algorhythm mainly because this is a houserules suggestion and as such is probably best left up to the DM in question).