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Binary stars in which oscillations can be studied in either or bothcomponents can provide powerful constraints on our understanding of stellarphysics. The bright binary 12 Bo\"otis (12 Boo) is a particularly promisingsystem because the primary is roughly 60 per cent brighter than the secondarydespite being only a few per cent more massive. Both stars have substantialsurface convection zones and are therefore, presumably, solar-like oscillators.We report here the first detection of solar-like oscillations and ellipsoidalvariations in the TESS light curve of 12 Boo. Though the solar-likeoscillations are not clear enough to unambiguously measure individual modefrequencies, we combine global asteroseismic parameters and a precise fit tothe spectral energy distribution (SED) to provide new constraints on theproperties of the system that are several times more precise than values in theliterature. The SED fit alone provides new effective temperatures, luminositiesand radii of $6115\pm45\,\mathrm{K}$, $7.531\pm0.110\,\mathrm{L}_\odot$ and$2.450\pm0.045\,\mathrm{R}_\odot$ for 12 Boo A and $6200\pm60\,\mathrm{K}$,$4.692\pm0.095\,\mathrm{L}_\odot$ and $1.901\pm0.045\,\mathrm{R}_\odot$ for 12Boo B. When combined with our asteroseismic constraints on 12 Boo A, we obtainan age of $2.67^{+0.12}_{-0.16}\,\mathrm{Gyr}$, which is consistent with thatof 12 Boo B.

Solar-like oscillations and ellipsoidal variations in TESS observations of the binary 12 Bo\"otis