For an endothermic reaction $ A --> B . An activation energy of 15 Kcal mole^{-1} and the enthalpy change of reaction is 5 Kcal mole^{-1} . The activation energy for the reaction B --> A $ is
10 Kcal $ mole^{-1} \triangle H = Ea - Ea^r \therefore +5 = 15 - Ea ^5 \therefore Ea^r = 10 $