Check the divisibility of the given numbers as indicated
`34875` by `9`

Options

A. Divisible
B. Not divisible
C. Cannot be determined
D. None of the above

Answer

To check the divisibility of the number `34875` by `9`, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: The number we need to check is `34875`.

2. **Sum the Digits**: We will add all the digits of the number together.
- The digits are: 3, 4, 8, 7, and 5.
- Calculate the sum:
\[ 3 + 4 + 8 + 7 + 5 \]

3. **Perform the Addition**:
- First, add 3 and 4:
\[ 3 + 4 = 7 \]
- Next, add 7 and 8:
\[ 7 + 8 = 15 \]
- Then, add 15 and 7:
\[ 15 + 7 = 22 \]
- Finally, add 22 and 5:
\[ 22 + 5 = 27 \]

4. **Check Divisibility by 9**: Now we need to check if the sum of the digits (which is 27) is divisible by 9.
- Divide 27 by 9:
\[ 27 \div 9 = 3 \]
- Since 27 divides evenly by 9 (the result is an integer), we conclude that it is divisible.

5. **Conclusion**: Since the sum of the digits (27) is divisible by 9, we can say that the original number `34875` is also divisible by 9.

### Final Answer:
Hence, the number `34875` is divisible by `9`.

---