A hydrogen like atom (atomic number = Z) is in higher excited state of quantum number n. This excited atom can make a transition to first excited state by successively emitting two photons of energy `22.94 eV` and `5.15 eV`. The atom from the same state n can make transition to second excited state by successively emitting two photons of energies `2.4 eV` and `8.7 eV`. Find values of n and Z.