Set 12: Linear Equations

Choice C is correct. Choice 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 D is incorrect because this is the smaller integer. Choice C is incorrect because 13 is odd. Choice C is incorrect because it results from an error in the solution process.