Summing based on multiple conditions

I have been trying to search an array and cannot find the correct combination of functions to get the information I want. I might need a macro to do this but I will try anything. Here is an example:

1 A 1
1 B 2
2 A 3
2 B 4
3 A 5
3 B 6

I want to search for 3 and A and return the value in the 3rd column. I have tried several functions but cant figure out how to make sure I get the correct value in the 2nd column that corresponds to the value in the 1st column.

Thank for your help.