The Weighing Game - Flash Game

Here`s how you would go about doing it without looking on forums and without looking at the hint:

1) Divide your target number into 3 groups, if you have 1 left over, adjust the middle group so it`s 1 bigger, if you have 2 left over, adjust the first and last group:

The resultant set={1-13,14-27,28-40}

The top bound of the middle group is one of your numbers: 27

Now find 3 numbers, which in some combination, form every number of the first group. Your answer is then:
Group 1: combo of first 3 numbers (comboFirst3)
Group 2: (upper bound for mid) - (comboFirst3)
Group 3: (upper bound for mid) + (comboFirst3)