1. **State the problem:** We need to find two consecutive even integers whose sum is 110. 2. **Define variables:** Let the first even integer be $x$. Since the integers are consecutive even numbers, the next integer is $x + 2$. 3. **Set up the equation:** The sum of the two integers is given as 110, so: $$x + (x + 2) = 110$$ 4. **Simplify the equation:** $$2x + 2 = 110$$ 5. **Isolate the variable:** Subtract 2 from both sides: $$2x + \cancel{2} - \cancel{2} = 110 - 2$$ $$2x = 108$$ 6. **Solve for $x$:** Divide both sides by 2: $$\frac{2x}{\cancel{2}} = \frac{108}{\cancel{2}}$$ $$x = 54$$ 7. **Find the second integer:** $$x + 2 = 54 + 2 = 56$$ 8. **Answer:** The two consecutive even integers are **54** and **56**.