This paper presents combinations of inclusive and differential measurements of the charge asymmetry (A${C}$) in top quark pair $ \left(\mathrm{t}\overline{\mathrm{t}}\right) $ events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC proton-proton collisions at centre-of-mass energies of 7 and 8 TeV. The data correspond to integrated luminosities of about 5 and 20 fb$^{−1}$ for each experiment, respectively. The resulting combined LHC measurements of the inclusive charge asymmetry are A${C}^{CHC7}$  = 0.005 ± 0.007 (stat) ± 0.006(syst) at 7 TeV and A${C}^{CHC8}$  = 0.0055 ± 0.0023 (stat) ± 0.0025 (syst) at 8 TeV. These values, as well as the combination of A${C}$ measurements as a function of the invariant mass of the $ \mathrm{t}\overline{\mathrm{t}} $ system at 8 TeV, are consistent with the respective standard model predictions.