O D D + O D D = E V E N
E V E N + O D D = O D D
E V E N + E V E N = ?
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All even number can be written as product of 2 by something
Let it be m and n even numbers which are can be written as m = 2 k and n = 2 s .
m + n = 2 k + 2 s = 2 ( k + s ) ∴ even + even = even
Even is equal a 2k, k is integer. Therefore even + even = 2k + 2k = 4k, and 4k is 2x(2k) is even. Then even + even = even.
2 ( e v e n ) + 2 ( e v e n ) = 4 ( e v e n ) .
An even number plus another even number is an even number because 2 plus 2 equals 4 and 4 is an even number
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Even numbers are of the form 2 k
Odd numbers are of the form 2 k + 1
So, First Equation → ( 2 k + 1 + 2 k + 1 ) → 2 ( 2 k + 1 ) . thus, even
Second Equation → ( 2 k + 2 k + 1 ) → 4 k + 1 ) . thus, odd
Third Equation(Answer Equation) → ( 2 k + 2 k ) → 2 ( 2 k ) → 4 k . thus, even