Question

Prove that the sum of two odd numbers is even.​

Answer 1

Answer:

Let the two consecutive odd numbers be (x-1) and (x+1) respectively.

Step-by-step explanation:

Now we have

(x-1)+(x+1)=2x

But x lies in between these two consecutive odd numbers.

Hence it is an even number.

Therefore sum of two odd numbers always results in an even number.

Answer 2

Answer:

The sum of two odd numbers is even.

Step-by-step explanation:

let us assume that,

the sum of two odd number is odd.

Let a, b & c are odd numbers.

Take a= 3

b=5

As we assume, we can write

a+b=c

3+5=c

8=c

but c is an odd number.

That is our assumption is wrong.

Hence, the sum of two odd numbers is even.