A 10W-30 doesn't necessarily start out as a 10 grade, in fact, there isn't really a formal 10 grade specification in the SAE J300 standards (the lowest is 20 grade which is 5.6 - 9.3 cSt). There is only a 10W specification.
One can make a 10W-30 synthetic with no VII's like Amsoil 10W-30 ACD. In this case, 30 weight (grade) base oils are used to make a 10W-30. The base oils have a naturally high VI and flow so well in the cold they can meet multigrade specifications by themselves. Synthetics flow better in the cold, so one can use higher viscosity base oils to formulate a synthetic 10W-30 compared to conventional oils. The same is true with Group II base oils vs G1. GII have better cold flow properties, so one can use a little higher viscosity GII's to formulate a 10W-30 versus using G1 base oils to formulate the same 10W-30.
I believe the GII base oils used for a 10W-30 are ~ 5.6 - 5.8 cSt, which would put them near the bottom end of the 20 weight range (5.6 - 9.3). With GI, one would have to go lower and you would likely be ~ 5.0 - 5.1 cSt. So, loosely speaking, the base oils used in a 10W-30 G1 would be a "10" grade (if we made some range for a 10 grade) since they would be just below the 20 grade specification.
The oils used to formulate a 20W-50 -- again it depends on the base oils used. One can formulate a synthetic 20W-50 with no VII's (so the starting base oils would be 50 grade range). My guess is a conventional GII based 20W-50 would probably use base oils ~ 10.0 cSt. (30 weight range) and then use VII's to get to the 50 range.