All the odd are always exist in the form 2x + 1 , where x = 0,1,2,3,........
so ,let the five odd numbers are 2n+1, 2m+1, 2p+1, 2q+1, and 2r +1, ,where
m, n, p, q, and r are belongs to all natural numbers, or m,n,p,q,r= 0,1,2,3,4.....N
(2n+1) +(2m+1)+(2p+1) + (2q+1) + (2r+1) = 30
or, 2(m+n+p+q+r) + 5 = 30
or, 2(m+n+p+q+r) = 25
or, m+n+p+q+r = 25/2 = 12.5
Here m,n,p,q and r are whole number ,whose sum will always be a whole number,But here it's a fraction.Therefore sum of five odd numbers never will be 30.
It's not possible.