The rate of decomposition for methyl nitrite and ethyl nitrite can be given in terms of rate constant $k_1$ and $k_2$ respectively. The energy of activation for the two reactions are 152.30 kJ mol$^{-1}$ and 157.7 kJ mol$^{-1}$ as well as frequency factors are $10^{13}$ and $10^{14}$ respectively for the decomposition of methyl and ethyl nitrite. Calculate the temperature at which rate constant will be same for the two reactions.