Consider the reaction

The rate constant for two parallel reactions were found to be ${\text{10}}^{-2}d{m}^{3}mo{l}^{-1}{s}^{-1}$ and  $4\times {10}^{-2}d{m}^{3}mo{l}^{-1}{s}^{-1}.$ If the corresponding energies of activation of the parallel reaction are 100 and 120 kJ/mol respectively, what is the net energy of activation $\left(E_a\right)$ of A?