You answered well imo. I imagine you only bought time before it comes up again though. I would not lie to your kids but they don't need to really know.Not now anyway.

Good luck.

R 25 years
M 14 years
S11 & S13
Working on it alone since Oct 2014
M in trouble a lot earlier (~2 years)
Feb 2016. 1st R chat in a yr.
Next R chat Aug'17
Still together