1. **State the problem:** We need to find two consecutive numbers whose sum is 13. 2. **Define variables:** Let the first number be $x$. Since the numbers are consecutive, the next number is $x+1$. 3. **Set up the equation:** The sum of the two numbers is given as 13, so: $$x + (x+1) = 13$$ 4. **Simplify the equation:** $$2x + 1 = 13$$ 5. **Solve for $x$:** $$2x = 13 - 1$$ $$2x = 12$$ $$x = \frac{12}{2} = 6$$ 6. **Find the consecutive numbers:** The first number is $6$, and the next consecutive number is $6 + 1 = 7$. 7. **Check the solution:** $$6 + 7 = 13$$ which matches the problem statement. **Final answer:** The two consecutive numbers are $6$ and $7$.