Weighing Problem - paraphrased: There are 10 bags of gold coins...

Djack94

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There are 10 bags of gold coins.

Each bag contains 1000 identical (looks) coins.

8000 coins in 8 bags - each coin weighs 10 gms.

In two (2) other bags, there are 2000 coins each weighing 9 gms.

We have an electronic balance that can weigh upto 100 kg very accurately.

How would you identify both the bags containing coins weighing 9 gms, by using the balance only once?
 
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There are 10 bags of gold coins.

Each bag contains 1000 identical (looks) coins.

8000 coins in 8 bags - each coin weighs 10 gms.

In two (2) other bags, there are 2000 coins each weighing 9 gms.

We have an electronic balance that can weigh upto 100 kg very accurately.

How would you identify both the bags containing coins weighing 9 gms, by using the balance only once?
Another hint:

1, 4, 9, 16, 25........81, 100.

Edit: No that does not work .... 42 + 72 = 12 + 82
 
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