A composition for transdermal administration resulting from an admixture includes: a therapeutically effective amount of a drug that includes a parent drug and a prodrug; and a pharmaceutically acceptable carrier, wherein the parent drug and prodrug are individually present in an amount sufficient for a pharmacological effect. In a preferred embodiment, the admixture includes: a therapeutically effective amount of a pharmaceutically active agent that includes a corresponding steroid and a steroid derivative; and a carrier for the pharmaceutically active agent. The steroid and the corresponding steroid derivative are present in a weight ratio of 10:1 to 1:10 steroid:corresponding steroid derivative. In a preferred embodiment ratio is 6:1 to 1:6. In a preferred embodiment, the corresponding steroid derivative is a steroid ester. In another preferred embodiment, the carrier is a polymer that includes a pressure-sensitive adhesive. In another preferred embodiment, the parent drug is an ACE inhibitor such as ramipril and the prodrug is an ACE inhibitor prodrug such as ramipril ethyl and/or methyl ester.