  Gamma Doradus and delta Scuti pulsators cover the transition region between
low mass and massive main-sequence stars, and as such, are critical for testing
stellar models. When they reside in binary systems, we can combine two
independent methods to derive critical information, such as precise fundamental
parameters to aid asteroseismic modelling. In the Kepler light curve of
KIC10080943, clear signatures of gravity- and pressure-mode pulsations have
been found. Ground-based spectroscopy revealed this target to be a double-lined
binary system. We present the analysis of four years of Kepler photometry and
high-resolution spectroscopy to derive observational constraints with which to
evaluate theoretical predictions of the stellar structure and evolution for
intermediate-mass stars. We used the method of spectral disentangling to
determine atmospheric parameters for both components and derive the orbital
elements. With PHOEBE, we modelled the ellipsoidal variation and reflection
signal of the binary in the light curve and used classical Fourier techniques
to analyse the pulsation modes. We show that the eccentric binary system
KIC10080943 contains two hybrid pulsators with masses $M_1=2.0\pm0.1~M_\odot$
and $M_2=1.9\pm0.1~M_\odot$, with radii $R_1=2.9\pm0.1~R_\odot$ and
$R_2=2.1\pm0.2~R_\odot$. We detect rotational splitting in the g modes and p
modes for both stars and use them to determine a first rough estimate of the
core-to-surface rotation rates for the two components, which will be improved
by future detailed seismic modelling.
