Do typed bonuses stack with untyped bonuses?

[Newmainium]

I have looked and googled everywhere. I cant find a clear answer to this.
I'de like to give a few examples:

Example 1:
Barbarian's rage ability grants a "+2 to melee attack rolls".

His Rage power " accurate stance" grants a "+1 competence bonus on melee attack rolls".

Do you get a +3 to melee attack rolls??

Example 2:
Half orc alternate racial trait "sacred tatoo" grants a "+1 luck bonus on all saving throws"

A barbarians rage power "superstition" says that " The barbarian gains a +2 competence bonus on saving throws made to resist spells"

Does a Half Orc barbarian with superstition activated get +3 to a saving throw to resist spells?

Thank you for any and all responses and answers...im quite new to pathfinder and have been unable to fully define what is a typed bonus, untyped bonus etc and how they all stack or dont stack together.

[Ryan Freire]

yup

[Newmainium]

Does a "typed" bonus like "+1 luck bonus to attack rolls" stack with another typed bonus like " +1 competence bonus to attack rolls"
Thus creating a +2 bonus to attack rolls?

[John Murdock]

only dodge bonus and untype bonus stack with itself, all other bonus can't stack with itself but stack with other bonus, so luck don't stack with luck but stack with any other type of bonus

[PossibleCabbage]

Bonuses of different types all stack (though there's some ambiguity about whether sacred and profane bonuses stack with each other.)

[Newmainium]

Ohh ok i understand. Thank you so much for the clarification

So in my original example if i were to recieve a seaparate "+1 competence bonus to melee attack rolls" i would still only have the +3, not +4?

Or if the separate one gave me a +2 then it would negate the +1 thus creating an overall +4?