perplexus.info :: Just Math : Minimum Sum Muse

Minimum Sum Muse (Posted on 2013-10-16)

Given that:
A + 13*B is divisible by 11 and:
A + 11*B is divisible by 13
whenever, each of A and B is a positive integer.

Determine the minimum value of A+B.

No Solution Yet Submitted by K Sengupta

Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

Comment 4 of 4 |

For A ,B < 25 the possible solutions are

(A=20,B=23),(A=21,B=17),(A=22,B=11) and (A=23,B=5)

So smallest value of A+B=28.

(Long live Excel)

Posted by Salil on 2013-10-17 05:44:19

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info