BMAD Posted May 20, 2013 Report Share Posted May 20, 2013 suppose there is a three digit number M where 100*a + 10*b +1*c = M where a, b, and c are digits What is the minimum value that can be found from M/(a+b+c)? 1 1 Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted May 20, 2013 Report Share Posted May 20, 2013 Reveal hidden contents a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315 1 Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 20, 2013 Author Report Share Posted May 20, 2013 On 5/20/2013 at 6:48 PM, Pickett said: Reveal hidden contents a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315 there is a smaller answer Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted May 20, 2013 Report Share Posted May 20, 2013 Reveal hidden contents ...assuming a doesn't equal 0 (since that would mean it isn't truly a three digit number) I'd be curious to see a smaller value of M / (a + b + c) I'm going to stick by 199/19 = 10.473684210... Quote Link to comment Share on other sites More sharing options...
0 Pickett Posted May 20, 2013 Report Share Posted May 20, 2013 Reveal hidden contents Alright, I realized my mistake...here ya go: a = 0.39 b = 5.2 c = 9 Gives you a 3 digit number of 100, but a min value of 6.854009595613435 Nice puzzle! Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 20, 2013 Author Report Share Posted May 20, 2013 On 5/20/2013 at 7:51 PM, Pickett said: Reveal hidden contents Alright, I realized my mistake...here ya go: a = 0.39 b = 5.2 c = 9 Gives you a 3 digit number of 100, but a min value of 6.854009595613435 Nice puzzle! a, b, c are digits Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 20, 2013 Author Report Share Posted May 20, 2013 On 5/20/2013 at 7:09 PM, Pickett said: Reveal hidden contents ...assuming a doesn't equal 0 (since that would mean it isn't truly a three digit number) I'd be curious to see a smaller value of M / (a + b + c) I'm going to stick by 199/19 = 10.473684210... you are right in that a does not equal to zero but there is still a smaller answer Quote Link to comment Share on other sites More sharing options...
0 BobbyGo Posted May 20, 2013 Report Share Posted May 20, 2013 I get Reveal hidden contents a = -9 b = 1 c = 9 100*a + 10*b +1*c = M = -881 M/(a+b+c) = -881 Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 20, 2013 Author Report Share Posted May 20, 2013 (edited) On 5/20/2013 at 8:42 PM, BobbyGo said: I get Reveal hidden contents a = -9 b = 1 c = 9 100*a + 10*b +1*c = M = -881 M/(a+b+c) = -881 a b and c are digits not integers, good idea though. If they were integers there would still be smaller answer then what you have found here. can you find that answer too? Edited May 20, 2013 by BMAD Quote Link to comment Share on other sites More sharing options...
0 Rob_Gandy Posted May 21, 2013 Report Share Posted May 21, 2013 (edited) Reveal hidden contents a=-9 b=0 c=9 d= -infinity and any similar variation. Reveal hidden contents I also get a=1 b=9 c=9 d=10.47368..... with the help of Java On 5/20/2013 at 9:32 PM, BMAD said: On 5/20/2013 at 8:42 PM, BobbyGo said: I get Reveal hidden contents a = -9 b = 1 c = 9 100*a + 10*b +1*c = M = -881 M/(a+b+c) = -881 a b and c are digits not integers, good idea though. If they were integers there would still be smaller answer then what you have found here. can you find that answer too? Edited May 21, 2013 by Rob_Gandy Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 21, 2013 Author Report Share Posted May 21, 2013 On 5/20/2013 at 6:48 PM, Pickett said: Reveal hidden contents a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315 i found an error in my calculation using 189/18 = 10.5 oops nice work! 1 1 Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted May 21, 2013 Author Report Share Posted May 21, 2013 (edited) On 5/21/2013 at 1:57 AM, Rob_Gandy said: Reveal hidden contents a=-9 b=0 c=9 d= -infinity and any similar variation. Reveal hidden contents I also get a=1 b=9 c=9 d=10.47368..... with the help of Java On 5/20/2013 at 9:32 PM, BMAD said: On 5/20/2013 at 8:42 PM, BobbyGo said: I get Reveal hidden contents a = -9 b = 1 c = 9 100*a + 10*b +1*c = M = -881 M/(a+b+c) = -881 a b and c are digits not integers, good idea though. If they were integers there would still be smaller answer then what you have found here. can you find that answer too? I disagree with your first solution (well) since it is undefined, we don't know if the value is defined to mean min or max as it is undefined Edited May 21, 2013 by BMAD 1 1 Quote Link to comment Share on other sites More sharing options...
0 James33 Posted May 25, 2013 Report Share Posted May 25, 2013 Reveal hidden contents I ran a program which suggests that the answer is 10.47 at M=199. Quote Link to comment Share on other sites More sharing options...
Question
BMAD
suppose there is a three digit number M where 100*a + 10*b +1*c = M where a, b, and c are digits
What is the minimum value that can be found from M/(a+b+c)?
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