The answer is, maybe. They MIGHT work together, they might not. Nobody is going to say yes it will work or no it won't work.
What I CAN tell you for certain is, ALL of your memory will be running at the slower speed of 2400mhz if you install any 2400mhz memory with your faster memory. If the speed is less of a concern to you than the capacity, then it's worth a try. Be sure to keep the two existing memory modules installed in the second and fourth slots and install the two new modules in the first and third slots, so that both sets will be in the correct slots to operate in dual channel. A2 and B2 are the second and fourth slots. A1 and B1 are the first and third slots, starting at the CPU and moving to the right towards the edge of...