Kaden and Dave bought some stamps and shared them equally between themselves. Mother then gave 1 stamp to Kaden and 9 stamps to Dave. As a result, Kaden had 3/5 as many stamps as Dave. How many stamps did Kaden and Dave buy altogether?

k+1 = 3/5 (d+9)

5k+5 = 3d+27
5k-3d = 22
But, since k=d,
2k = 22
k=11
so they started out with 11 stamps each, or 22 altogether