## Four Weights To Thirty

What four weights can be used to balance from one to thirty pounds?

A = 1

B = 3

C = 9

D = 17

1 lb = A

2 lbs + A = B

3 lbs = B

4 lbs = A + B

5 lbs + A + B = C

6 lbs + B = C

7 lbs + B = A + C

8 lbs + A = C

9 lbs = C

10 lbs = A + C

11 lbs + A = B + C

12 lbs = B + C

13 lbs = A + B + C

14 lbs + B = D

15 lbs + B = A + D

16 lbs + A = D

17 lbs = D

18 lbs = A + D

19 lbs + A = B + D

20 lbs = B + D

21 lbs = A + B + D

22 lbs + A + B = C + D

23 lbs + B = C + D

24 lbs + B = A + C + D

25 lbs + A = C + D

26 lbs = C + D

27 lbs = A + C + D

28 lbs + A = B + C + D

29 lbs = B + C + D

30 lbs = A + B + C + D

Posted in Brain Teasers

3 Comments on "Four Weights To Thirty"a wanderer says

November 18, 2014 @ 01:23

what about 1,3,6,20

Dan says

November 18, 2014 @ 10:02

Those numbers work too. I wonder what other sets of numbers work. I thought there was only one set.

bugz says

May 18, 2016 @ 03:52

10 10 5 5 …fifteen pounds on each side

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