Find the two odd numbers whose sum is 12.

Answer

To find two odd numbers whose sum is 12, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Odd Numbers**:
Odd numbers are integers that cannot be divided evenly by 2. They include numbers like 1, 3, 5, 7, 9, 11, etc.

2. **Setting Up the Equation**:
Let the first odd number be \( a \) and the second odd number be \( b \). According to the problem, we need to satisfy the equation:
\[ a + b = 12 \]

3. **Finding Possible Pairs**:
We will start with the smallest odd number and find pairs that sum to 12.

- **First Pair**:
Let \( a = 1 \):
\[ b = 12 - 1 = 11 \]
So, one pair is \( (1, 11) \).

- **Second Pair**:
Let \( a = 3 \):
\[ b = 12 - 3 = 9 \]
So, another pair is \( (3, 9) \).

- **Third Pair**:
Let \( a = 5 \):
\[ b = 12 - 5 = 7 \]
So, another pair is \( (5, 7) \).

- **Fourth Pair**:
Let \( a = 7 \):
\[ b = 12 - 7 = 5 \]
This gives us the pair \( (7, 5) \), which is the same as \( (5, 7) \).

- **Fifth Pair**:
Let \( a = 9 \):
\[ b = 12 - 9 = 3 \]
This gives us the pair \( (9, 3) \), which is the same as \( (3, 9) \).

- **Sixth Pair**:
Let \( a = 11 \):
\[ b = 12 - 11 = 1 \]
This gives us the pair \( (11, 1) \), which is the same as \( (1, 11) \).

4. **Conclusion**:
The pairs of odd numbers whose sum is 12 are:
- \( (1, 11) \)
- \( (3, 9) \)
- \( (5, 7) \)