Choice Bhoice D is the correct answer.

1. Define: $x, x+2$ (even integers are 2 apart).
2. Equation: $x + (x + 2) = 26$
3. Simplify: $2x + 2 = 26$
4. Subtract 2: $2x = 24$
5. Divide by 2: $x = 12$
6. Larger: $x + 2 = 14$
7. Verify: $12 + 14 = 26$ ✓

Choice Bhoice D is incorrect because this is the smaller integer.

Choice Bhoice C is incorrect because 13 is odd.

Choice Bhoice C is incorrect because calculation error.