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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.

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