Subjects algebra

Odd Street Numbers 30A623

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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.