The sum of three consecutive multiples of 8 is 888. Find the multiples.

Options

A. `248,256,264`
B. `216,224,232`
C. `288,296,304`
D. None

Explanation

To solve the problem of finding three consecutive multiples of 8 that sum up to 888, we can follow these steps:

### Step 1: Define the first multiple
Let the first multiple of 8 be represented as \( x \).

### Step 2: Define the second and third multiples
Since we are looking for consecutive multiples of 8, the second multiple will be \( x + 8 \) and the third multiple will be \( x + 16 \).

### Step 3: Set up the equation
According to the problem, the sum of these three multiples is equal to 888. Therefore, we can write the equation:
\[ x + (x + 8) + (x + 16) = 888 \]

### Step 4: Simplify the equation
Now, let's simplify the left side of the equation:
\[ x + x + 8 + x + 16 = 888 \]
Combining like terms, we get:
\[ 3x + 24 = 888 \]

### Step 5: Isolate the variable
Next, we will isolate \( x \) by subtracting 24 from both sides:
\[ 3x = 888 - 24 \]
Calculating the right side:
\[ 3x = 864 \]

### Step 6: Solve for \( x \)
Now, divide both sides by 3 to find \( x \):
\[ x = \frac{864}{3} \]
Calculating this gives:
\[ x = 288 \]

### Step 7: Find the three multiples
Now that we have \( x \), we can find the three consecutive multiples:
- First multiple: \( x = 288 \)
- Second multiple: \( x + 8 = 288 + 8 = 296 \)
- Third multiple: \( x + 16 = 288 + 16 = 304 \)

### Final Answer
The three consecutive multiples of 8 are:
- 288
- 296
- 304

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