A hydrogen-like atom (atomic number Z) is in a higher excited state of quantum number n.This excited atom can make transition to the first excited state by succesively emitting two photons of energies `10.20 eV` and `17.00 eV` respectively. Alternatively, the atom from the same excited state can make a transition to the second excited state by successively emitting two photons of energies `4.25 eV` and ` 5.95 eV` respectively. Determine the values of n and z