SOLUTION: What are the five odd numbers when added is equals to 52? I badly need your help.
Algebra.Com
Question 658206: What are the five odd numbers when added is equals to 52? I badly need your help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
No solution. The sum of an odd number of odd numbers is odd, and 52 is even.
Proof: 
is the 
odd number where 
, hence 5 arbitrary odd numbers can be represented as 
, 
, 
, 
, and 
. And their sum would be:
Which can be rearranged thus:
\ -\ 5)
Which can clearly be seen is not evenly divisible by 2. Therefore the sum of any five odd integers is odd. The proof can easily be generalized to cover any odd number of odd numbers.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
An odd number when added to its squares equals to 182. find the odd... (answered by checkley79)
The sum of the first n odd numbers is 3600. What is the last odd number to be added when (answered by Fombitz)
The sum of two numbers is greater than or equal to 14 . The second number is 2 less than (answered by mananth,Theo)
the sum of the two consecutive odd numbers is 52. what are the two odd... (answered by phillywily)
When the sum of two Consecutive odd integers is increased by 8, the result is 52. What... (answered by josmiceli)
A number is three times another number. When the numbers are added, there sum is 60.... (answered by unlockmath)
What two numbers added together equals negative 10, but when the same two numbers are... (answered by Edwin McCravy)
three odd numbers which when added gives a sum value of 30?what are the three odd... (answered by richwmiller)
I need help with this one , i am struggling in this calss and it is about to end and I... (answered by vleith,MathTherapy)
