1. **Problem Statement:** On Odd Street, house numbers are consecutive odd numbers. The sum of two neighbor house numbers is 5056. Find the two house numbers.
2. **Understanding the problem:** Consecutive odd numbers differ by 2. Let the smaller house number be $x$, then the next neighbor is $x+2$.
3. **Set up the equation:** The sum of the two neighbors is given by
$$x + (x+2) = 5056$$
4. **Simplify the equation:**
$$2x + 2 = 5056$$
5. **Isolate $x$:**
$$2x = 5056 - 2$$
$$2x = 5054$$
6. **Divide both sides by 2:**
$$\cancel{2}x = \cancel{2} \times 2527$$
$$x = 2527$$
7. **Find the neighbor:**
$$x + 2 = 2527 + 2 = 2529$$
8. **Answer:** The two house numbers are $2527$ and $2529$.
These correspond to the option: 2527 and 2529.
Odd Street Numbers 30A623
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