Preheat oven to 180°C (160 ℃ fan forced). Grease and line a 20 cm round cake tin.
In a large bowl, add flour, cocoa powder, caster sugar, brown sugar, baking powder, baking soda, and salt. Mix or whisk well to combine and remove any lumps.
In a jug, whisk together eggs, vanilla, oil and milk, until well combined.
Pour the wet ingredients into the dry ingredients. Mix until smooth and lump free.
Carefully pour in the boiling water. Stir gently until the batter is smooth. The batter will be thin. This is normal.
Pour the batter into the prepared tin.
Bake for 45 to 50 minutes, or until a skewer inserted in the centre comes out clean or with a few moist crumbs. Do not open the oven too early, or the middle may sink slightly.
Leave the cake in the tin for 10 minutes, then transfer to a wire rack to cool completely.