SUMIF - Text & Values

I've created an example of what I'm working on since it involves personal information. See Attachment...
ExampleExcel.xlsx

I need to use 2 criteria to determine the Sum value for A2 thru A5. The Account# and the Type# below row 7 need to be the same as those listed to the right of the Sum column (A2:A5). I can change the Account# and Type# to text, but the Sum Range needs to be numbers.

I was able to Sum based on the Account range (=SUMIF(Account,B2,Sum), but I still need to make the Type range part of the criteria.

As you can see in the attachment, A2 = 8 when it should = 2 (as seen in row 8 under Sum Range).