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CTK Exchange
Rich

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Jan-22-02, 02:07 PM (EST) |
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"stumped"
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Years ago when I was in college, our professor gave us a "brain teaser" and I cannot recall the answer. I hope you can help. It was something like this... Using the numbers 0 thru 9 once each, what combination will add up to exactly 100? I think the trick was that you needed to combine numbers, ie. 12+34 would use numbers 1,2,3,4, or 1.2+3.8 uses 1,2,3,8 and totals 5Please send response to me at RMartin@healthcapitalinvestors.com |
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Jack Wert

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Jan-23-02, 11:34 PM (EST) |
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2. "RE: stumped"
In response to message #1
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I am a bit confused. I understood the problem to be arriving at the result of 100 using all ten numbers, including zero (0). Yet all of the solutions I have seen use only 1 through 9. It appears to me that if the "0" is included, the solution will probably involve decimal solutions, as adding 0 to any addition of integers does not affect the result. Possible I misunderstood the original posting. Jack |
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Ariella Berger

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Feb-10-02, 08:50 AM (EST) |
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3. "RE: stumped"
In response to message #2
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(Trial and error)- well, you have to start from somewhere......... use the 1 and the 0 to get 10. then work backwards to find another 10 to multiply that 10 to get to 100. so you need to play around with numbers 2,3,4,5,6,7,8,9then (6+4)* (8-5-2)*(7+3-9) = 10*1*1 =10 Then the final answer (if I understood the question) might be: 100 = 1.0. * (6+4)(8-5-2)(7+3-9) Similarly, say you decide to get to 100 from using 2*50. Then you have to play around with numbers 1, 3, 6, 7, 8, 9 to get to 1. Messing around with the numbers would then bring you to this: use the 1 and 3 to get to 13. then 1.3. - 6 - 7 + 9 - 8 = 1 so the answer would be.. 100 = 2 * 5.0. *(1.3. - 6 - 7 + 9 - 8 ) Regards, Ariella |
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Jack Wert

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Feb-10-02, 11:51 PM (EST) |
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4. "RE: stumped"
In response to message #3
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I still think the problem is to come up with a total of 100 - adding numbers, but not using negative numbers - just positive numbers, although they can be decimals. There are many ways to arrive at 100 if negative numbers are used, so that is not much of a problem. My question is: is there really a solution if only positive numbers are used? The original post implied that, but did not state it. It also implied addition as the only mathematical operation. I have spent a few hours playing with it, using excel to do the arithmatic, but always was a shade off the desired result. It is a fun puzzle - given the restriction above. But I am not sure it has a solution. Jack Wert
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