Add the following numbers and check by reversing the order of the addends:
(i) `16509+114`
(ii) `2359+548`
(iii) `19753+2867`

Answer

Let's solve the question step by step.

### Question:
Add the following numbers and check by reversing the order of the addends:
(i) `16509 + 114`
(ii) `2359 + 548`
(iii) `19753 + 2867`

### Solution:

#### (i) Adding `16509 + 114`

1. **Align the numbers**:
```
16509
+ 114
```

2. **Add the numbers column by column**:
- Units place: `9 + 4 = 13` (write down 3, carry over 1)
- Tens place: `0 + 1 + 1 (carry) = 2`
- Hundreds place: `5 + 1 = 6`
- Thousands place: `6 + 0 = 6`
- Ten-thousands place: `1 + 0 = 1`

So, the result is:
```
16623
```

3. **Check by reversing the order**:
- Now add `114 + 16509`:
```
114
+ 16509
```

- Units place: `4 + 9 = 13` (write down 3, carry over 1)
- Tens place: `1 + 0 + 1 (carry) = 2`
- Hundreds place: `1 + 5 = 6`
- Thousands place: `0 + 6 = 6`
- Ten-thousands place: `0 + 1 = 1`

The result is still:
```
16623
```

#### (ii) Adding `2359 + 548`

1. **Align the numbers**:
```
2359
+ 548
```

2. **Add the numbers column by column**:
- Units place: `9 + 8 = 17` (write down 7, carry over 1)
- Tens place: `5 + 5 + 1 (carry) = 11` (write down 1, carry over 1)
- Hundreds place: `3 + 4 + 1 (carry) = 8`
- Thousands place: `2 + 0 = 2`

So, the result is:
```
2907
```

3. **Check by reversing the order**:
- Now add `548 + 2359`:
```
548
+ 2359
```

- Units place: `8 + 9 = 17` (write down 7, carry over 1)
- Tens place: `4 + 5 + 1 (carry) = 10` (write down 0, carry over 1)
- Hundreds place: `5 + 3 + 1 (carry) = 9`
- Thousands place: `2 + 0 = 2`

The result is still:
```
2907
```

#### (iii) Adding `19753 + 2867`

1. **Align the numbers**:
```
19753
+ 2867
```

2. **Add the numbers column by column**:
- Units place: `3 + 7 = 10` (write down 0, carry over 1)
- Tens place: `5 + 6 + 1 (carry) = 12` (write down 2, carry over 1)
- Hundreds place: `7 + 8 + 1 (carry) = 16` (write down 6, carry over 1)
- Thousands place: `9 + 2 + 1 (carry) = 12` (write down 2, carry over 1)
- Ten-thousands place: `1 + 0 + 1 (carry) = 2`

So, the result is:
```
22620
```

3. **Check by reversing the order**:
- Now add `2867 + 19753`:
```
2867
+ 19753
```

- Units place: `7 + 3 = 10` (write down 0, carry over 1)
- Tens place: `6 + 5 + 1 (carry) = 12` (write down 2, carry over 1)
- Hundreds place: `8 + 7 + 1 (carry) = 16` (write down 6, carry over 1)
- Thousands place: `2 + 9 + 1 (carry) = 12` (write down 2, carry over 1)
- Ten-thousands place: `0 + 1 + 1 (carry) = 2`

The result is still:
```
22620
```

### Final Results:
(i) `16509 + 114 = 16623`
(ii) `2359 + 548 = 2907`
(iii) `19753 + 2867 = 22620`