• 0
Sign in to follow this  
Followers 0

How Low can U go?

Question

Posted · Report post

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)?

0

Share this post


Link to post
Share on other sites

12 answers to this question

  • 0

Posted · Report post

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

Posted · Report post

a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315

there is a smaller answer

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

...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...
0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

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!
0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

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

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

...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

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

I get

a = -9

b = 1

c = 9

100*a + 10*b +1*c = M = -881

M/(a+b+c) = -881

0

Share this post


Link to post
Share on other sites
  • 0

Posted (edited) · Report post

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 by BMAD
0

Share this post


Link to post
Share on other sites
  • 0

Posted (edited) · Report post

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 by Rob_Gandy
0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

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!

0

Share this post


Link to post
Share on other sites
  • 0

Posted (edited) · Report post

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 by BMAD
0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

I ran a program which suggests that the answer is 10.47 at M=199.

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now
Sign in to follow this  
Followers 0

  • Recently Browsing   0 members

    No registered users viewing this page.