To understand the sum of two odd numbers and b even numbers, let’s break it down step by step.
First, when we add two odd numbers, the result is always an even number. For example: if we take 3 and 5 (both odd), 3 + 5 = 8, which is even.
Next, when we add an even number to another even number, the result remains even as well. If we take 2 and 4 (both even), 2 + 4 = 6, which is also even.
Now, if we have our even result from adding two odd numbers and then add b even numbers to it, the overall sum remains even. That’s because the sum of even numbers is always even. For instance, let’s say we added two odd numbers to get 8 and then we add two even numbers, let’s say 2 and 4: 8 + 2 + 4 = 14, and 14 is even.
In summary, the sum of any two odd numbers will always yield an even number, and when you add that even number to any number of even numbers (b even numbers), the final result will always be even.