$E_{a}= E_{a}^{\prime}+\Delta H$
where, $E_{a}=$ activation energy of forward reaction
$E_{a}^{\prime}=$ activation energy of backward reaction
$\Delta \mathrm{H}=$ enthalpy of the reaction.
From the diagram below,
$E_{a}= E_{a}^{\prime}+\Delta H$
$E_{a}>\Delta H$