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Invoke: Maths Ufies - solution possible?	by poolya	2011-02-17 09:50:11
5 unknown values. Each value is paired with each other value and the sums recorded as follows: 1485 1450 1430 1355 1335 1300 1270 1175 1140 1120 (i.e. the above are the results of a+b, a+c, a+d etc - though not necessarily in that order). It is also given (though I'm not sure how usefully) that a 6th value exists, such that the lowest of the 5 values + the 6th is 1500, with all other pairing involving the 6th being greater than 1500 (which seems trivial and not entirely helpful). The question asks "what are the values?" - my question is, "why have I spent so long poking this when I don't think there's a satisfactory method to solve it (i.e. not brute force) - or possibly even a solution?"
[ Reply ]
A solution:	by Ascag	2011-02-17 10:56:10
Method:	by pas51	2011-02-17 11:13:58
To elaborate:	by pas51	2011-02-17 11:58:24
And the sixth value is 1500 - a	by pas51	2011-02-17 12:00:45
Here's a start	by altordwm	2011-02-17 11:34:08
Furthermore,	by altordwm	2011-02-17 11:51:56
Finally,	by altordwm	2011-02-17 11:55:48

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