I share a 50 centimorgan 6 segment match to person "J".
My maternal side aunt shares 54 centimorgan 5 segment match to that same person "J"
I see two possible blood-line connections between my aunt and myself and this person "J", (there is a third possible blood-line - but for the moment I'm considering that unlikely)
Of the two possible blood connections, one is my 10th Greatgrandmother, the other is a 7th Greatgrandfather (but on a different branch). Considering that I get DNA contributions from each, is it possible that if both blood connections are valid, and the result (my DNA and my Aunts) appear to be of a common ancestor to "J" that is closer than 7th Greatgrandparent.
That is to say, are DNA contributions from differing branches additive?
These DNA results are from Ancestry.
Additional information: below is a table that lists several (15) persons that I have been DNA matched with. The second column of this table lists classification of the corresponding common ancestors by documentary evidence.
Now, considering that I have an (as yet not fully documented) 50 cm DNA match with the person "J", it occurs to me that the common ancestor is more likely to be closer to me than 3rd GGP. However, documentation thus far suggests multiple common ancestors at the 9th or 10th GGP level. Hence the question, can DNA contributions from separate branches add.
I'm open to other suggestions