The sum of two numbers is an even number if both numbers are either even or both numbers are odd.
Here's a breakdown:
- Even + Even = Even: For example, 2 + 4 = 6
- Odd + Odd = Even: For example, 3 + 5 = 8
- Even + Odd = Odd: For example, 2 + 3 = 5
- Odd + Even = Odd: For example, 3 + 2 = 5
Therefore, the parity (whether a number is even or odd) of the sum depends on the parities of the two numbers being added.
| Number 1 | Number 2 | Sum | Even/Odd |
|---|---|---|---|
| Even | Even | Even | Even |
| Odd | Odd | Even | Even |
| Even | Odd | Even + Odd | Odd |
| Odd | Even | Odd + Even | Odd |
In conclusion, a sum of two numbers is even only if both numbers are even or both are odd.
