Question

if x and y are odd, prove that X + Y is an even munber

Answer 1

let x=1 and y=3

then 1+3=4
is a even sooo proved

Answer 2

If x is odd then it can be written as,

x = even + 1 ------(1)

Similarly,

y = even + 1 ------(2)

On adding equation 1 and 2, we get

x + y= even + even + 1 + 1

=> x + y = even + 2 [ even + even = even]

=> x + y = even [ 2 is an even number]