We present 2.9–4.1 \mu m integral field spectroscopy of the L4+L4 brown dwarf binary HD 130948BC , obtained with the Arizona Lenslets for Exoplanet Spectroscopy ( ALES ) mode of the Large Binocular Telescope Interferometer ( LBTI ) . The HD 130948 system is a hierarchical triple system , in which the G2V primary is joined by two co-orbiting brown dwarfs . By combining the age of the system with the dynamical masses and luminosities of the substellar companions , we can test evolutionary models of cool brown dwarfs and extra-solar giant planets . Previous near-infrared studies suggest a disagreement between HD 130948BC luminosities and those derived from evolutionary models . We obtained spatially-resolved , low-resolution ( R \sim 20 ) L -band spectra of HD 130948B and C to extend the wavelength coverage into the thermal infrared . Jointly using JHK photometry and ALES L -band spectra for HD 130948BC , we derive atmospheric parameters that are consistent with parameters derived from evolutionary models . We leverage the consistency of these atmospheric quantities to favor a younger age ( 0.50 \pm 0.07 Gyr ) of the system compared to the older age ( 0.79 _ { -0.15 } ^ { +0.22 } Gyr ) determined with gyrochronology in order to address the luminosity discrepancy .