SOLUTION: Solve this.. ()+()+()+()+()=30 Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)

Question 940369: Solve this..
()+()+()+()+()=30
Fill the boxes using
(1, 3, 5, 7, 9, 11, 13, 15)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As written, there is no solution.
The numbers given to fill the boxes are all odd numbers.
The sum of 5 odd numbers is always an odd number, and 30 is an even number.
The sum of 2 odd numbers is an even number,
so the sum of 4 (2+2=4) odd numbers is also an even number,
and adding a fifth odd number to that would yield an odd sum of 5 odd numbers.

The sum of 6 odd numbers could be 30.
If it is so, the average of the 6 odd numbers is .
Then, if those 6 odd numbers are consecutive odd numbers,
the average is also the median,
the number half way between the two numbers in the middle,
which would be 6-1=5 and 6+1=7,
so 1+3+5+7+9+11=30 ,
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