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September 4th, 2014, 09:09 AM   #1
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There are 40 numbers.Can you separate them into 2 groups...

so the sum of the numbers in each group is equal?
the numbers are: 1⁶+2⁶+...+40⁶
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September 4th, 2014, 10:24 AM   #2
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Yes, there are lots of ways of doing this. One is

40^6 + 38^6 + 35^6 + 33^6 + 30^6 + 29^6 + 27^6 + 26^6 + 25^6 + 23^6 + 21^6 + 15^6 + 12^6 + 11^6 + 10^6 + 9^6
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September 4th, 2014, 10:37 AM   #3
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but how do you know that your example is correct?
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September 4th, 2014, 07:18 PM   #4
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Quote:
Originally Posted by ricsi046 View Post
but how do you know that your example is correct?
Add it up.
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