Replace A,B and C by suitable numerals. `({:(," "6A),(,-AB):})/(" "37)`

Answer

To solve the problem, we need to replace A, B, and C with suitable numerals in the expression `({:(," "6A),(,-AB):})/(" "37)`. The expression indicates a subtraction operation, and we will analyze it step by step.

### Step-by-Step Solution:

1. **Understanding the Expression**:
The expression can be interpreted as `6A - AB = 37`. Here, `6A` means 6 followed by the digit A, which can be represented as \(60 + A\). The term `AB` represents a two-digit number where A is the tens place and B is the units place, which can be represented as \(10A + B\).

2. **Setting Up the Equation**:
We can rewrite the equation as:
\[ (60 + A) - (10A + B) = 37 \]
Simplifying this gives:
\[ 60 + A - 10A - B = 37 \]
\[ 60 - 9A - B = 37 \]

3. **Rearranging the Equation**:
Now, we can rearrange the equation to isolate terms involving A and B:
\[ -9A - B = 37 - 60 \]
\[ -9A - B = -23 \]
Multiplying through by -1 gives:
\[ 9A + B = 23 \]

4. **Finding Suitable Values for A and B**:
Since A and B are single-digit numbers (0-9), we can find pairs (A, B) that satisfy the equation \(9A + B = 23\):
- If A = 2, then \(9(2) + B = 23 \Rightarrow 18 + B = 23 \Rightarrow B = 5\).
- If A = 3, then \(9(3) + B = 23 \Rightarrow 27 + B = 23\) (not valid since B cannot be negative).

Thus, the only valid pair is \(A = 2\) and \(B = 5\).

5. **Final Values**:
We have found that:
\[ A = 2 \quad \text{and} \quad B = 5 \]

### Conclusion:
The values of A, B, and C are:
- A = 2
- B = 5
- C is not specified in the problem, so it can be any digit.