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5+5+5+5+1

That is only 5 numbers being added. There can be no answer for six numbers for the following reasons:

The numbers are all odd.

Two odd numbers make an even number.

Two even numbers make an even number.

21 is odd.

Take 6 odd numbers and add them up in pairs.

Each pair of odd numbers gives an even number so there are 3 even numbers.

Even + Even + Even = Even.

So sum of any six odd numbers is even but 21 is not even.

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