  The large-$N_c$ consistency conditions for axial vector and isovector
magnetic couplings of pions to baryons are discussed from the point of view of
low-energy current-algebra sum rules (Adler-Weisberger, Cabibbo-Radicati). In
particular, we show how the result that ratios of axial vector and isovector
magnetic coupling constants get corrections only at the order $1/N_c^2$ follows
from the $N_c$-counting of appropriate cross sections. This counting is
performed using various approaches at the quark and hadronic level. Other
implications of our method are also presented.
