The sum of two integers is -117. If one of the integer is 85, find the other.

Answer

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

### Step 1: Understand the problem
We know that the sum of two integers is -117, and one of the integers is 85. We need to find the other integer.

**Hint:** Identify the known values and what you need to find.

### Step 2: Set up the equation
Let the unknown integer be represented as \( x \). According to the problem, we can write the equation:
\[ x + 85 = -117 \]

**Hint:** Use a variable to represent the unknown integer.

### Step 3: Isolate the variable
To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 85 from both sides:
\[ x = -117 - 85 \]

**Hint:** To isolate the variable, perform the same operation on both sides of the equation.

### Step 4: Perform the calculation
Now, we need to calculate the right-hand side:
\[ x = -117 - 85 \]
To do this, we can add the absolute values and keep the negative sign:
\[ -117 - 85 = -202 \]

**Hint:** When subtracting a positive number from a negative number, you can think of it as adding their absolute values and keeping the negative sign.

### Step 5: State the final answer
Thus, the other integer is:
\[ x = -202 \]

**Hint:** Make sure to clearly state your final answer.

### Summary of the solution:
The other integer is -202.