You can put this solution on YOUR website! Each odd number can be written as 2*k + 1 for some value of k. Let's say the five numbers are:
2*k1 + 1
2*k2 + 1
2*k3 + 1
2*k4 + 1
2*k5 + 1
The sum of these then is 2*(k1+k2+k3+k4+k5) + 5 =
2*(k1+k2+k3+k4+k5+2) + 1 which is an odd number so can't be 32 (which is even)