If 1 is subtracted from the tens digit and 1 is added to the unit digit in each of the given numbers , then which of the following numbers will become the greatest ?
381,376,387,368,328

Options

A. 381
B. 376
C. 387
D. 328

Explanation

To solve the problem step by step, we need to modify each number according to the instructions given: subtract 1 from the tens digit and add 1 to the units digit. Let's go through each number one by one.

### Step 1: Modify each number

1. **For 381**:
- Tens digit: 8 → 8 - 1 = 7
- Units digit: 1 → 1 + 1 = 2
- New number: 372

2. **For 376**:
- Tens digit: 7 → 7 - 1 = 6
- Units digit: 6 → 6 + 1 = 7
- New number: 367

3. **For 387**:
- Tens digit: 8 → 8 - 1 = 7
- Units digit: 7 → 7 + 1 = 8
- New number: 378

4. **For 368**:
- Tens digit: 6 → 6 - 1 = 5
- Units digit: 8 → 8 + 1 = 9
- New number: 359

5. **For 328**:
- Tens digit: 2 → 2 - 1 = 1
- Units digit: 8 → 8 + 1 = 9
- New number: 219

### Step 2: List the new numbers
After modifying each number, we have:
- 381 → 372
- 376 → 367
- 387 → 378
- 368 → 359
- 328 → 219

### Step 3: Identify the greatest number
Now we compare the new numbers:
- 372
- 367
- 378
- 359
- 219

The greatest number among these is **378**.

### Step 4: Conclusion
Thus, after performing the required modifications, the greatest number is **378**, which corresponds to the original number **387**.