In addition shown below, each of the letters A, B, C, D, and E represents one of the digits from 1 up to 5 (equal letters represent equal digits and different letters represent different digits). The first and last digits of the sum are given.

Place the numbers 1 - 12 in the twelve circles below so the sum of each side of the triangle is 36. I will give you a head start by placing some of the numbers for you. (The numbers may be used once only).