State whether the following statements are True or False :
The sum of two odd numbers and one even number is even.

Answer

To determine whether the statement "The sum of two odd numbers and one even number is even" is true or false, we can analyze the properties of odd and even numbers.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- An **odd number** is a number that is not divisible by 2 (e.g., 1, 3, 5, 7, etc.).
- An **even number** is a number that is divisible by 2 (e.g., 0, 2, 4, 6, etc.).

2. **Add Two Odd Numbers**:
- When you add two odd numbers, the result is always even. For example:
- \(3 + 5 = 8\) (even)
- \(1 + 7 = 8\) (even)

3. **Add the Even Number**:
- Now, we take the sum of the two odd numbers (which is even) and add an even number to it. The sum of an even number and another even number is also even. For example:
- \(8 + 4 = 12\) (even)
- \(8 + 2 = 10\) (even)

4. **Generalize the Result**:
- Therefore, if we take any two odd numbers and add one even number, the final result will always be even.

5. **Conclusion**:
- Based on the above reasoning, we can conclude that the statement "The sum of two odd numbers and one even number is even" is **True**.