The hypernuclei ΛΛHe6 and ΛHe6 are studied using the method of Dawson, Talmi, and Walecka. As a check on the calculation, He6 is also studied using a pure central force for the neutron-neutron interaction. By working within a harmonic-oscillator frame work, the Bethe-Goldstone equation is transformed to relative coordinates and solved using the variational procedure developed by Dawson and Walecka. Assuming a pure central potential with a Yukawa shape for the Λ-Λ interaction, the strengths of the potential yielding the observed binding energy are found for three different ranges. As a check, the binding energy of He6 is estimated assuming central potentials of the Bruckner-Gammel-Thaler type and of the Hamada type. The spin-orbit and tensor parts of the potentials are neglected, because the neutrons interact most strongly in a relative singlet s state. Too much binding is found, presumably because of our use of harmonic-oscillator single-particle potentials. A 15% reduction in the attractive part of the central Hamada-type potential gives reasonable binding for the neutrons. The energy levels of the ground state and excited states of ΛHe6 are estimated using the potentials given by Shemsher Ali, Grypeos, and Kok. A 20 to 25% reduction in the potential yields the observed binding energy of the ground state. In addition to the ground state, which is 1-, a 2- excited state is also found, which may not be bound against breakup into ΛHe5+n.