The sum of two integers is 17 . If one of them is - 35 , 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 17, and one of the integers is -35. 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:
\[ -35 + x = 17 \]

3. **Isolate \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by adding 35 to both sides of the equation:
\[ x = 17 + 35 \]

4. **Calculate the Right Side**: Now, we will perform the addition:
\[ x = 52 \]

5. **Conclusion**: The other integer is 52.

Thus, the final answer is:
\[ \text{The other integer is } 52. \]