1. **State the problem:** We are given that the sum of two alternate numbers is 16, and we need to find these numbers. 2. **Define variables:** Let the first number be $x$. Since the numbers are alternate, the next alternate number will be $x+2$. 3. **Set up the equation:** According to the problem, the sum of these two numbers is 16. $$x + (x+2) = 16$$ 4. **Simplify the equation:** $$2x + 2 = 16$$ 5. **Solve for $x$:** $$2x = 16 - 2$$ $$2x = 14$$ $$x = 7$$ 6. **Find the second number:** $$x + 2 = 7 + 2 = 9$$ 7. **Answer:** The two alternate numbers are 7 and 9.