Find the values of `A, B` and `C` in the following
`({:(," "35A),(,-CB8):})/(" "183)`

Options

A. `1, 6, 1`
B. `2, 5, 7`
C. `3, 7, 8`
D. `6, 9, 6`

Answer

To find the values of A, B, and C in the expression \(({:(," "35A),(,-CB8):})/(" "183)\), we need to analyze the subtraction step by step.

### Step 1: Analyze the last digit
We start with the last digit of the subtraction:
- The last digit of the top number is A, and the last digit of the bottom number is 8.
- We know that \( A - 8 \) gives us a last digit of 3.

To achieve this, we can think of borrowing:
- If we borrow 1 from the next column, we can consider \( A + 10 - 8 = 3 \).
- This simplifies to \( A + 2 = 3 \), leading to \( A = 1 \).

### Step 2: Analyze the middle digit
Next, we look at the middle digit:
- The middle digit of the top number is 5, and we need to subtract B from it.
- Since we borrowed 1 from the previous column, we actually have \( 4 - B = 8 \).

This means:
- \( 4 - B + 10 = 8 \) (since we borrowed 1),
- Simplifying gives us \( 14 - B = 8 \),
- Thus, \( B = 6 \).

### Step 3: Analyze the first digit
Now we analyze the first digit:
- The first digit of the top number is 3, and we need to subtract C from it.
- Since we borrowed 1 from the previous column, we have \( 2 - C = 1 \).

This means:
- \( 2 - C = 1 \),
- Therefore, \( C = 1 \).

### Conclusion
Now we have found the values:
- \( A = 1 \)
- \( B = 6 \)
- \( C = 1 \)

Thus, the values of A, B, and C are:
- A = 1
- B = 6
- C = 1

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