We write down all the digits from 1-9 side by side. Now we put '+' between as many digits as we wish to, so that the sum of numbers become 666. It is explained below
1 2 3 4 5 6 7 8 9 = 666
Now suppose we put plus signs at following places.
12 + 345 + 67 + 89 = 513
Since there are four numbers, so the average can be calculated by dividing the sum by 4. What is the average if the sum is 666?

Options

A. 166.5
B. 111
C. 133.2
D. Cannot be determined

Answer

To solve the problem, we need to find the average of the sum when the total is 666. Here are the steps to find the solution:

### Step 1: Understand the Problem
We need to find the average of a sum that equals 666. The average is calculated by dividing the total sum by the number of parts (or numbers) that make up that sum.

**Hint:** Remember that the average is found by dividing the total sum by the number of items.

### Step 2: Identify the Total Sum
The total sum we are working with is 666.

**Hint:** Make sure you have the correct total sum before proceeding.

### Step 3: Determine the Number of Parts
In the example given, the numbers were grouped in such a way that there were 4 parts (e.g., 12 + 345 + 67 + 89). We need to determine how many parts we will use for the sum of 666.

For our calculation, let's assume we can also break down 666 into 4 parts.

**Hint:** Think about how you can group the digits from 1 to 9 to achieve the sum of 666.

### Step 4: Calculate the Average
To find the average, we divide the total sum (666) by the number of parts (which we assume is 4).

\[ \text{Average} = \frac{\text{Total Sum}}{\text{Number of Parts}} = \frac{666}{4} \]

### Step 5: Perform the Division
Now, we will perform the division:

\[ \frac{666}{4} = 166.5 \]

**Hint:** Make sure to do the division carefully to avoid mistakes.

### Step 6: State the Final Answer
The average of the numbers that sum to 666 is 166.5.

**Final Answer:** The average is 166.5.