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Lets break it down:
Line to gain is B's 10 yard line. After the run it is now 3rd and 6 from the 16.
Dead ball fouls are always administered in the order they occur.
So, first we penalize B for their DBPF (dead ball personal foul) which takes the ball half the distance to the goal down to the 8.
Now ball is at the 8 yard line...giving A a fist down.
(this may be where you question is; can you award a first down in between DB enforcements. Answer is Yes)
Next we penalize A for their DBPF and this takes the ball back to the 23 were it will be 1st and 10 for A. Chains are not set until after the last enfrocement.
If live ball, dead ball then you enforce the live ball first, see where you are with line to gain, then enforce the dead ball foul. If the order was the same (live ball PF by B, then dead ball by A) then the results here would be the same, since the live ball PF gainst B would be enforced from the end of the run (same as succeeding spot for DB foul).
If A had fouled first then you would go back from the 16 yard line to the 31. then back down to B's 16 for B's foul. This order would in essence offset the fouls putting the ball back where is started after the play, leaving A short of the line to gain, once again 3rd and 6 from the 16.
I think that gets it, unless I missed soemthing..
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