Red or White Sores. Many things can cause sores on fish such as fights with other fish, scraping on sharp rocks, and small wounds that get infected and grow bigger.
I really have to disagree with the previous poster. I think a sore that large is definately a sign of an infection, simply based on the size and also the fact that there are two of them. They may have showed up as the result of a fight or possibly something very sharp in the aquarium (remember, there are two fish that have had to sustain the same injury). That is also partially what is leading me to believe it is some sort of infection. Going throuh the process of elimination, I have never seen a parasite capable of that (thankfully). True fungus usually only attacks when there is an open wound already, so your fish may be vulnerable to it now, but I doubt that is the initial cause. It doesn't look like a tumor or growth of any type. That really only leaves a bacterial infection.
In all cases the Recommended Treatment is the same. Click
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While most of this advice is good, the part that really scares me is the "Add Quick Cure". Wiht all the different possible causes of an open sore, some of which can be very lethal (columnaries for example), a general cure all is not good advice. Like I said above, I think it is something bacterial, but I have no clue what, so I am hesitant to recomend an antibiotic. At the same time, it isn't good to go around throwing every medicine in the book at your fish either.
I had a fish with a small sore like that, approximately 2-4 mm across, who died, and I treated him with both Maracyn and Maracyn 2. I know tetracycline is also a good one for some types of bacteria, as well as Kanamyicin (I know I butchered that spelling)
I would be hesitant to raise the temperature because some bacteria, columnaries for example, actually thrive at the higher temperatures, making the disease progress faster. The clean the tank is good advice, but make sure you don't go overboard and sent your tank into a minicycle either. Also, adding aquarium salt can help as well.
Hopefully someone will come on who knows a more exact diagnosis.