Context : 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 KIC 10080943 , clear signatures of gravity- and pressure-mode pulsations have been found .
Ground-based spectroscopy revealed this target to be a double-lined binary system .

Aims : 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 .

Methods : 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 .

Results : We show that the eccentric binary system KIC 10080943 contains two hybrid pulsators with masses M _ { 1 } = 2.0 \pm 0.1 ~ { } M _ { \sun } and M _ { 2 } = 1.9 \pm 0.1 ~ { } M _ { \sun } , with radii R _ { 1 } = 2.9 \pm 0.1 ~ { } R _ { \sun } and R _ { 2 } = 2.1 \pm 0.2 ~ { } R _ { \sun } .
We detect rotational splitting in the g 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 .

Conclusions :