Question

1,3,5,7,11,13,17,19,23 out of which 5 numbers make 50

Answer 1

sum of 5 odd numbers can never be even number!
so its not possible.

Answer 2

but, if you can use 'sum of digits' of those numbers too, then solutions could be possible.
like
\(\Large 23+19 + (1+1)\small {[11\to 1+1=2]}\Large + 5+1 =50\)