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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


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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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