Add :
`(i) - 36 + 19 `
` (ii) 49 + (-27)`

Options

A. `(i) -17`
`(ii) 77`
B. `(i) -16`
`(ii) 12`
C. `(i) -17`
`(ii) 22`
D. `(i) 55`
`(ii) 22`

Explanation

To solve the given problems step by step, let's break down each part of the question.

### Part (i): -36 + 19

1. **Identify the numbers**: We have -36 (a negative integer) and 19 (a positive integer).

2. **Determine the larger absolute value**: The absolute value of -36 is 36, and the absolute value of 19 is 19. Since 36 is larger, we will keep the negative sign.

3. **Subtract the smaller absolute value from the larger absolute value**:
\[ 36 - 19 = 17 \]

4. **Assign the sign**: Since the larger absolute value was negative, the result will also be negative:
\[ -17 \]

So, the answer for part (i) is:
\[ -36 + 19 = -17 \]

### Part (ii): 49 + (-27)

1. **Identify the numbers**: We have 49 (a positive integer) and -27 (a negative integer).

2. **Determine the larger absolute value**: The absolute value of 49 is 49, and the absolute value of -27 is 27. Since 49 is larger, we will keep the positive sign.

3. **Subtract the smaller absolute value from the larger absolute value**:
\[ 49 - 27 = 22 \]

4. **Assign the sign**: Since the larger absolute value was positive, the result will also be positive:
\[ 22 \]

So, the answer for part (ii) is:
\[ 49 + (-27) = 22 \]

### Final Answers:
(i) -36 + 19 = -17
(ii) 49 + (-27) = 22

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