[Guest]

once upon a time a villger had a stone of 40kgs

which broke into 4 pices

after some days he starterd a business

and did sold all the commodities between 1 to 40kgs(not in fractions)

he just used those 4 pices to take measurment.

he got all the values by adjusting thise stones

tell me the weight of those 4 pcs.

Edited July 23, 2008 by rookie1ja

[Guest]

1, 3, 9, and 27.

You can generate any integer between 1 and 40 using these numbers. The trick is to remember that he's using a balance where you place weights on both sides, so you can add AND subtract.

1=1

2=3-1

3=3

4=3+1

5=9-3-1

up to

39=27+9+3

40=27+9+3+1

[Guest]

Umm...I can barely understand the question much less answer it...

[Guest]

1, 3, 9, 27

1 = 1

2 = 3-1

3 = 3

4 = 3+1

5 = 9-3-1

6 = 9-3

7 = 9+1-3

8 = 9-1

9 = 9

10 = 9+1

11 = 9+3-1

12 = 9+3

13 = 9+3+1

14 = 27-9-3-1

15 = 27-9-3

16 = 27-9-3+1

17 = 27-9-1

18 = 27-9

19 = 27-9+1

20 = 27-9+3-1

21 = 27-9+3

22 = 27-9+3+1

23 = 27-3-1

24 = 27-3

25 = 27-3+1

26 = 27-1

27 = 27

28 = 27+1

29 = 27+3-1

30 = 27+3

31 = 27+3+1

32 = 27+9-3-1

33 = 27+9-3

34 = 27+9-3+1

35 = 27+9-1

36 = 27+9

37 = 27+9+1

38 = 27+9+3-1

39 = 27+3+9

40 = 27+3+9+1

[rookie1ja]

this is one of my favorites (and already posted on non-forum pages) ... check Weighing VIII.

I have dedicated 1 page to similar water and weighing puzzles

looking forward to new puzzles

thread locked