Power problems-batteries are charged, but acting dead

Thanks for the suggestions. I hooked up each battery to an external charger that reads voltage and they both showed a full charge.

Edited to add:

I took my Innova volt meter out and did a load test and just as you guys predicted. Boom. Both batteries are failing to hold a charge. Just that simple.
Thanks for the suggestion. Seemed to damned obvious, but there it is.