BMAD 62 Report post 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 Share this post Link to post Share on other sites

0 Pickett 11 Report post Posted May 20, 2013 a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315 1 Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 20, 2013 a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315 there is a smaller answer Share this post Link to post Share on other sites

0 Pickett 11 Report post Posted May 20, 2013 ...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... Share this post Link to post Share on other sites

0 Pickett 11 Report post Posted May 20, 2013 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! Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 20, 2013 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 Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 20, 2013 ...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 Share this post Link to post Share on other sites

0 BobbyGo 7 Report post Posted May 20, 2013 I get a = -9 b = 1 c = 9 100*a + 10*b +1*c = M = -881 M/(a+b+c) = -881 Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 20, 2013 (edited) I get 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 Share this post Link to post Share on other sites

0 Rob_Gandy 2 Report post Posted May 21, 2013 (edited) a=-9 b=0 c=9 d= -infinity and any similar variation. I also get a=1 b=9 c=9 d=10.47368..... with the help of Java I get 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 Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 21, 2013 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 Share this post Link to post Share on other sites

0 BMAD 62 Report post Posted May 21, 2013 (edited) a=-9 b=0 c=9 d= -infinity and any similar variation. I also get a=1 b=9 c=9 d=10.47368..... with the help of Java I get 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 Share this post Link to post Share on other sites

0 James33 1 Report post Posted May 25, 2013 I ran a program which suggests that the answer is 10.47 at M=199. Share this post Link to post Share on other sites

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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