The sum of two integers is `-223` . If one of the integers is `172`, find the other.

Answer

To solve the problem step by step, we will follow these instructions:

1. **Understand the Problem**: We know that the sum of two integers is -223, and one of the integers is 172. We need to find the other integer.

2. **Set Up the Equation**: Let the other integer be represented by \( x \). According to the problem, we can write the equation:
\[ 172 + x = -223 \]

3. **Isolate \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 172 from both sides:
\[ x = -223 - 172 \]

4. **Perform the Calculation**: Now, we need to calculate the right side:
\[ x = -223 - 172 \]
To do this, we can add the absolute values of 223 and 172:
\[ 223 + 172 = 395 \]
Since we are subtracting a positive number from a negative number, the result will be negative:
\[ x = -395 \]

5. **Conclusion**: Therefore, the other integer is:
\[ \boxed{-395} \]