Double Foul During Free Throw

[cropduster]

Here's another question from the La. 07-08 study guide:

147. While A1 is in the act of shooting a free throw and prior to releasing the ball, a double personal foul is called. A-1 continues the motion and scores. Official disallows the free throw and re-administers A-1's free throw with players occupying the marded lane spaces. Play continues from the administration of the free thow(s). This ruling is correct. T or F

I've looked for this in the case book and could use ya'lls help. Since a member of team A fouled, shouldn't the ball become dead? Or, does the double foul offset that?

Thanks,
barryb