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**Hint**: Even number can be defined as the number which is divisible by the number two $ (2) $ and which gives the resultant remainder of zero $ (0). $ A number which is not divisible by two is known as the odd number. Here we will take the examples of even and odd numbers and will find the sum of two numbers.

**:**

__Complete step-by-step answer__In other simple words, the even numbers are expressed as the numbers which are exactly divisible by .

For example, $ 2,4,6,8,........ $

Now, the sum of any two even numbers $ = 2 + 4 $

Simplify the above expression finding the addition

sum of any two even numbers $ = 6 $

hence, the sum of any two even numbers is even. …. (A)

Similarly, in other simple words, the odd numbers are expressed as the numbers which are not exactly divisible by .

For example, $ 1,3,5,7............... $

Now, the sum of any two odd numbers $ = 1 + 3 $

Simplify the above expression finding the addition

sum of any two odd numbers $ = 4 $

hence, the sum of any two odd numbers is even. …. (B)

(A) And (B) are the required solutions.

**Note**: Always remember the difference between the odd numbers and the even numbers. The even numbers always end up with the last digits such as $ 0,2,4,6,8 $ .The odd number when divided by the number two will always give us the remainder as one $ (1). $ and Odd numbers always end up with the last digits such as $ 1,3,5,7,9 $ .

Remember, zero is the smallest whole number and also the smallest even number whereas One is the smallest natural number and the smallest odd number.

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