The sum of two odd and one even numbers isA.EvenB.PrimeC.CompositeD.Od...
A is right answer ex. 3 +5 +2 =10 7 +9+6 = 22 it proves that the sum of two odd and one even is composite
The sum of two odd and one even numbers isA.EvenB.PrimeC.CompositeD.Od...
Explanation:
Odd Numbers:
Odd numbers are integers that are not divisible by 2. They have the form 2n + 1, where n is an integer. Examples of odd numbers include 1, 3, 5, 7, 9, and so on.
Even Numbers:
Even numbers are integers that are divisible by 2. They have the form 2n, where n is an integer. Examples of even numbers include 2, 4, 6, 8, 10, and so on.
Sum of Two Odd Numbers:
When you add two odd numbers together, the result is always an even number. This can be proven by considering the possible combinations of odd numbers:
- When you add two odd numbers, such as 3 + 5, the result is 8, which is an even number.
- Similarly, if you add two other odd numbers, such as 7 + 9, the result is 16, which is also an even number.
Sum of Two Odd Numbers and One Even Number:
Now, let's consider the sum of two odd numbers and one even number. We can represent the odd numbers as 2n + 1 and the even number as 2m. Adding these three numbers together gives:
(2n + 1) + (2n + 1) + 2m = 4n + 2 + 2m = 2(2n + m + 1)
The sum simplifies to 2 multiplied by an integer, which means it is an even number.
Conclusion:
Based on the above explanation, the sum of two odd numbers and one even number will always be an even number. Therefore, the correct answer is option 'A' - Even.
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