What happens to an electron in Atom X when Atom X atom absorbs a photon?

Hi. Electrons in the inner orbit of this atom x will want to get freed from the atom itself, but it is not possible due to the strong nuclear attractive force. So, when energy is provided to electrons in the form of photons that bombard the atom, the electrons absorb the energy and kind of use it to over come to pull of the nucleus. And how far the electron gets freed depends on the energy provided to it, which ultimately depends on the frequency of the incident photon  according to niel bohr's famous frequency condition, E=h *frequency. All the best!

you seem to already know the answer ... a photon with energy equal to difference in two energy levels of the electron get absorbed ... and the electron jumps to the higher energy state.