Energy of activation of forward and backward reaction are equal in cases (numerical values) where 

Energy of activation of forward and backward reaction are equal in cases (numerical values) where the enthalpy change of the reaction, ΔH=0.

For exothermic reaction,

$E_{act,b} =\Delta H+E_{act,f }$
For endothermic reaction, 

$E_{act,f} =\Delta H+E_{act,b}$