SOLUTION: if two numbers are odd, then thier sum is even given: the numbers are 5 and 7 conclusion: the sum is even

Algebra.Com
Question 215857This question is from textbook california geometry
: if two numbers are odd, then thier sum is even
given: the numbers are 5 and 7
conclusion: the sum is even
This question is from textbook california geometry

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
if two numbers are odd, then thier sum is even
-------------------
That shows it's true for 5 and 7, but not in general.
-----------
Odd numbers can be expressed as 2n+1, where n is any integer (odd or even).
Another odd number is 2m+1, same stiputation.
-------------------
The sum of any 2 odd numbers is:
2n + 1
2m + 1
-------
Sum = 2(m+n) + 2
Whether the sum of m and n is odd or even, 2 times it is even. Add 2, still even.

RELATED QUESTIONS

If two numbers are odd, then is their sum... (answered by Mr_Mathman)
The sum of two odd numbers is even. The sum of two odd numbers is odd.... (answered by shaux)
if x and y are odd numbers, then x+y is even If x and y are both odd, then x+1 and y-1 (answered by stanbon)
Prove that when two odd numbers are squared and then added, the answer is always... (answered by Alan3354)
The numbers of two adjacent classrooms are two consecutive even numbers. if their sum is... (answered by flame8855)
the sum of two numbers is 18. thier difference is 22. what are the... (answered by ankor@dixie-net.com)
how many consectives even numbers are there between 35 and 45' how many consectives odd... (answered by KMST)
Prove that the sum of the cubes if two numbers is odd if and only if one of the numbers... (answered by richard1234)
23. Odd and Even numbers ​Is the sum of any two odd numbers an odd number?... (answered by Fombitz)