Seems like homework, but OK.
We need to transform the strings inside the tuples into ints, and then sum them, there are a trillion ways of doing this. This is a general solution so it works even if the tuples in the original list have variable lengths.
First using map as you want
list(map(lambda tup: sum(map(int,tup)), L))
The list call is just used to create a list from the map object.
You can also use list comprehensions
[sum(int(x) for x in tup) for tup in L]
You can also mix and match the map in the comprehension call like this to get the shortest code.
[sum(map(int,tup)) for tup in L]