# a stone of 40 kg is broken into 4 pieces such that by combination of that 4 pieces we can weigh any weight fro?

a stone of 40 kg is broken into 4 pieces such that by combination of that 4 pieces we can weigh any weight from 1 to 40 kg...

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I assume you mean an whole number weight from 1 to 40 kg.

27 kg

9 kg

3 kg

1 kg

To weigh 1 kg, that's obvious.

To weigh 2 kg, put 3 kg on one side, 1 kg on the other. Put your object with the 1 kg weight and make it balance.

To weigh 3 kg, that's obvious

To weigh 4 kg --> 3 kg + 1 kg

To weigh 5 kg --> 9 kg on one side, 3 kg + 1 kg on the other

To weigh 6 kg --> 9 kg vs. 3 kg.

To weigh 7 kg --> 9+1 kg. vs. 3 kg.

To weigh 8 kg --> 9 vs. 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

etc.

You should be able to follow the pattern all the way to 40 kg.

• 4 years ago

4 Kg In Stone

• 6 years ago

1-> 9 vs 8

2-> 11 vs 9

3-> 12 vs 9

4-> 12 vs 8

5-> 8,9 vs 12

6-> 8,9 vs 11

7-> 8,11 vs 12

8-> 9,11 vs 12

9-> 8,12 vs 11

10-> 9,12 vs 11