The (3He, t) charge-exchange reaction on carbon nuclei and protons, accompanied by the excitation of Δ isobars in a target, has been studied at beam momenta from 4.40 to 18.3 GeV/c. The analysis is performed to explain why the Δ-peak in the inclusive A( 3 He, t) and A(p, n) measurements is shifted towards lower energy transfers (in comparison with the reactions on free nucleons) but in the exclusive ones it is shifted towards higher transfers. An attempt is undertaken to determine the characteristics of Δ excitation in nuclei by a (3He, t) reaction that is free of the admixture of quasifree Δ production.