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

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) (Show Source): You can put this solution on YOUR website!
Any positive odd number is of the form where (and n is an integer). So another positive odd number may look like where (and m is an integer). Also, we can make the condition that

Add the two numbers to get

Notice how is of the form which is even where 'q' is some integer. Ie

So 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
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