SOLUTION: A positive odd number plus a positive odd number equals a...? A. positive odd number B. positive even number C. negative even number D. negative odd number

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Question 349711: A positive odd number plus a positive odd number equals a...?
A. positive odd number
B. positive even number
C. negative even number
D. negative odd number

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Any positive odd number is of the form 2n%2B1 where n%3E=0 (and n is an integer). So another positive odd number may look like 2m%2B1 where m%3E=0 (and m is an integer). Also, we can make the condition that m%3C%3En


Add the two numbers to get %282n%2B1%29%2B%282m%2B1%29=%282m%2B2n%29%2B%281%2B1%29=2%28m%2Bn%29%2B2=2%28m%2Bn%2B1%29


Notice how 2%28m%2Bn%2B1%29 is of the form 2q which is even where 'q' is some integer. Ie q=m%2Bn%2B1


So 2%28m%2Bn%2B1%29 is an even number which means that the sum of two positive odd numbers is ALWAYS a positive even number.



Example: 3 and 5 are positive odd numbers and 3+5 = 8 is an even number.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim