Recognize the chemical formula of oleum as \( H_2S_2O_7 \) or \( H_2SO_4 \cdot SO_3 \), which implies the reactants X and Y are sulfuric acid (\( H_2SO_4 \)) and sulfur trioxide (\( SO_3 \)). Then, apply the rules for assigning oxidation states to determine the oxidation state of the central atom (sulfur) in each reactant and sum these values. Remember that the sum of oxidation states in a neutral compound is zero.