Let, number of small and big pumpkin are x and y.
So, mathematical equation is given by :
x + y = 29 ...1)
3x + 5y = 105 ...2)
Putting value of x from equation 1 to equation 2, we get :
![3(29-y ) +5y=105\\\\2y = 18\\\\y = 9](https://img.qammunity.org/2021/formulas/mathematics/high-school/t7izhw9f4xut1glkukn50plvgynkdc4sog.png)
So, x = 20
Therefore, number of small and large pumpkins are 20 and 9 respectively.
Hence, this is the required solution.