  We show that a model with a scalar leptoquark of hypercharge $Y=1/6$ which
includes the light right-handed neutrinos, can successfully describe both of
the $B$-physics anomalies, $R_K^{\rm exp} < R_K^{\rm SM}$ and $R_D^{\rm exp} >
R_D^{\rm SM}$. We discuss the corresponding low energy effective theory and,
after using the known experimental data as constraints, we show that the model
is viable and that it offers several predictions which can be tested
experimentally.
