Answer
Here is the proof to this staement. We are to prove that sum of two even integers is even.
Work Step by Step
SOLUTION:
Let,
First even integer (a) = 2k
Secon d even integer (b) = 2a
where, k & a are both any integers.
Now,
a + b = even i.e. multiple of 2
So,
a + b = 2k + 2a
2(k+a) = even.
REASON:
As,
k & a are integers and (k+ a) is multiple of 2.
Hence,
Proved.
