Splitting a Clock Face into Desired Sums
Date: 11/14/2007 at 00:07:31 From: Sujai Subject: Breaking a clock into five pieces Take a clock and break the clock into exactly five pieces such that the sums of all the numbers on each piece are 8, 10, 12, 14 and 16. What i figured out was that the sum of nos from 1-12 is 78 and sum of the numbers on pieces mentioned is 60. i am not able to figure out the exact solution.
Date: 11/14/2007 at 10:32:15 From: Doctor Ian Subject: Re: Breaking a clock into five pieces Hi Sujai, What occurs to me is that if you break the '12' between the 1 and the 2, you lose 12 - (1 + 2) = 9 from the total. That drops you from 78 to 69. Similarly, if you break the '10' between the 1 and the 0, you lose 10 - (1 + 0) = 9 more, dropping you to 60, which is what you want. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/
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