The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

Explanation

To solve the problem, we need to find a value of \( x \) such that the sum of the house numbers preceding house \( x \) is equal to the sum of the house numbers following house \( x \).

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have houses numbered from 1 to 49. We need to find a house number \( x \) such that:
\[
\text{Sum of numbers before } x = \text{Sum of numbers after } x
...