SOLUTION: odd+odd+odd=even how to solve..plz tell me

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Question 968066: odd+odd+odd=even
how to solve..plz tell me
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not matter as long as you can generalize a bit and understand that an even number is divisible by two, and with remainder of zero. Odd and even numbers are always integers.

If n is an integer, then 2n+1 is ODD.

Let k, m, p, be any integers also.
%282k%2B1%29%2B%282m%2B1%29%2B%282p%2B1%29 is sum of three ODD integers.
2k%2B1%2B2m%2B1%2B2p%2B1
2k%2B2m%2B2p%2B1%2B1%2B1
2%28k%2Bm%2Bp%29%2B3
Look at each part of this sum.
2%28k%2Bm%2Bp%29 is even. 3 is odd.

Adding odd number to an even number gives an odd sum.
This is EVEN+ODD=ODD.