The sum of two integers is `-35` . If one of them is `40`, then the other is
(a)`5`
(b) `-75`
(c) `75`
(d) `-5`

Answer

To solve the problem step by step, we need to find the other integer when the sum of two integers is -35, and one of them is 40.

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the sum of two integers is -35. One of the integers is given as 40. 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:
\[ 40 + x = -35 \]

3. **Isolate \( x \)**: To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 40 from both sides:
\[ x = -35 - 40 \]

4. **Perform the Calculation**: Now, we calculate the right side:
\[ x = -75 \]

5. **Conclusion**: Therefore, the other integer is \( -75 \).

### Final Answer:
The other integer is \( -75 \), which corresponds to option (b).

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