The number which when added to itself 17 times gives 180 is

Options

A. 2
B. 5
C. 10
D. 8

Answer

To solve the problem, we need to find a number that, when added to itself 17 times, equals 180. Let's denote the unknown number as \( x \).

### Step-by-Step Solution:

1. **Understand the Problem**:
We need to find a number that, when added to itself 17 times, gives us 180.

2. **Set Up the Equation**:
When we add the number \( x \) to itself 17 times, we can express this mathematically as:
\[ x + x + x + \ldots + x \quad (\text{17 times}) = 17x \]
According to the problem, this sum equals 180:
\[ 17x = 180 \]

3. **Solve for \( x \)**:
To find \( x \), we need to isolate it in the equation. We can do this by dividing both sides of the equation by 17:
\[ x = \frac{180}{17} \]

4. **Calculate the Value**:
Now, we perform the division:
\[ x = 10.588235294117647 \quad (\text{approximately}) \]
Since we are looking for a whole number, we can round it to 10.

5. **Final Answer**:
The number we are looking for, which when added to itself 17 times gives 180, is:
\[ x = 10 \]