I doubt it. A rough rule of thumb is that you need about a ton of cooling for every 600 square feet of living space. Also, an older house is not going to be as tight as a newer house, in terms of air leakage and the integrity of the attic insulation. You may get by with a 3.5 ton unit, but, you may need a 4 ton unit. You may want to compare your neighbors' houses to see what size units they have.
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