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Preheat oven to 350°F/177°C. Prepare one 6-inch tin cake and 3-inch tin can.
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For the cake: In a bowl, mix all cake ingredients together, divide it among the two cans. Bake in the preheated oven for 20-25 minutes.
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For the syrup: In a small sauce pan, heat up sugar with the water. Once the sugar is melted simmer for 2-3 minutes. Remove from the heat and pour in white rum.
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Remove cakes in the oven and pour syrup over the two cakes.
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For the custard: Mix all ingredients in a heat-proof bowl and cook over a double boiler. Cook until it coats the back of the spoon and is thickened. Strain the mixture. Pour this into the prepared cakes.
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Refrigerate to set. Sprinkle sugar on top, torch lightly to melt and caramelize the sugar.
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Serve.