Talk:Ten bags of gold: Difference between revisions
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Created page with "My solution for this problem: - Number ten bags from 1 to 10. - Take 1 coin from bag numbered 1, 2 coins from bag numbered 2, 3 coins from bag numbered 3, ..." |
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- Number ten bags from 1 to 10. | - Number ten bags from 1 to 10. | ||
- Take 1 coin from bag numbered 1, | - Take 1 coin from bag numbered 1, 2 coins from bag numbered 2, 3 coins from bag numbered 3, ..., 10 coins from bag numbered 10. | ||
- Put these 55 coins on the scale. If there weren't any bag which has fake coins, the scale would display 1+2+3+...+10 = 55 ounces. But there is one bag (let's consider it numbered x) with fake coins, the displayed number will be 0.1*x less than 55, or 55-0,1*x, because a fake coin weighs less than a real coin 0.1 ounces. | - Put these 55 coins on the scale. If there weren't any bag which has fake coins, the scale would display 1+2+3+...+10 = 55 ounces. But there is one bag (let's consider it numbered x) with fake coins, the displayed number will be 0.1*x less than 55, or 55-0,1*x, because a fake coin weighs less than a real coin 0.1 ounces. | ||
Current revision as of 05:32, 19 August 2013
My solution for this problem:
- Number ten bags from 1 to 10.
- Take 1 coin from bag numbered 1, 2 coins from bag numbered 2, 3 coins from bag numbered 3, ..., 10 coins from bag numbered 10.
- Put these 55 coins on the scale. If there weren't any bag which has fake coins, the scale would display 1+2+3+...+10 = 55 ounces. But there is one bag (let's consider it numbered x) with fake coins, the displayed number will be 0.1*x less than 55, or 55-0,1*x, because a fake coin weighs less than a real coin 0.1 ounces.