A hot gas emits radiation of wavelengths 46.0 nm,

A hot gas emits radiation of wavelengths $46.0 \mathrm{~nm}, 82.8 \mathrm{~nm}$ and $103.5 \mathrm{~nm}$ only. Assume that the atoms have only two excited states and the difference between consecutive energy levels decreases as energy is increased. Taking the energy of the highest energy state to be zero, find the energies of the ground state and the first excited state.