The large-N-c consistency conditions for axial-vector and isovector ma
gnetic couplings of pions to baryons are discussed from the point of v
iew of low-energy current-algebra sum rules (Adler-Weisberger, Cabibbo
-Radicati). Tn 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 cr
oss sections. This counting is performed using various approaches at t
he quark and hadronic level. Other implications of our method are also
presented.