1+3+5+5+17+19 = 50
these are six numbers that make 50, but if u look closely, one number(5) is repeated
which means the total distinct odd numbers in this answer are 5.
No other solution to my knowledge
It is not possible for five odd numbers to add up to 50 or any even number. All even numbers have the form 2x, where x is an integer, that is if you divide an even number by two you get an integer.
All odd numbers have the form 2x + 1, where x is an integer. Another way of looking at this is that every odd number is an even number plus 1.
So lets take five odd numbers, 2v+1, 2w+1, 2x+1, 2y+1, and 2z+1, where v, w, x, y, and z are distinct integers. Adding them together we get:
(2v+1) + (2w+1) + (2x+1) + (2y+1) + (2z+1)
2v + 2w + 2x + 2y + 2z + 5
2v + 2w + 2x + 2y + 2z + 4 + 1
2(v + w + x + y + z + 1) +1
This is the form of an odd number. Therefore any five odd numbers added together will sum to an odd number.
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An odd number.
The result is an odd number.
When you add an odd number to an odd number, you get an even number. When you add an odd number to that even number, the sum is always odd. Don't believe it? Try a few examples yourself.
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.
Can not be done! An odd number of odd numbers will ALWAYS add up to an odd number.