If the sum of two integers is -10 and one of them is 2, then the other is

Options

A. 8
B. `-8`
C. 12
D. `-12`

Answer

To find the other integer when the sum of two integers is -10 and one of them is 2, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the sum of two integers is -10. Let's denote the two integers as \( x \) and \( y \). We are given that one of the integers, say \( x \), is 2.

2. **Set Up the Equation**: According to the problem, we can write the equation:
\[ x + y = -10 \]
Substituting the value of \( x \):
\[ 2 + y = -10 \]

3. **Solve for \( y \)**: To find \( y \), we need to isolate it on one side of the equation. We can do this by subtracting 2 from both sides:
\[ y = -10 - 2 \]
Simplifying this gives:
\[ y = -12 \]

4. **Conclusion**: Therefore, the other integer \( y \) is -12.

### Final Answer:
The other integer is **-12**.

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