No, the sum of two even numbers is not an odd number. According to the reference provided, (ii), the sum of two even numbers is an even number.
Here's a breakdown to help understand why:
Understanding Even Numbers
Even numbers are whole numbers that can be divided by 2 with no remainder. Examples include 2, 4, 6, 8, 10, and so on.
The Sum of Two Evens
When you add two even numbers together, the result will always be another even number.
Here are a few examples:
- 2 + 4 = 6
- 10 + 2 = 12
- 20 + 30 = 50
Why the Sum is Always Even
You can think of even numbers as having pairs. When you add two sets of pairs together, you will always have another set of pairs, meaning the number will always be even.
Therefore, based on the provided reference and basic mathematical principles, we can confidently say that the sum of two even numbers will always be an even number, not an odd number.