KöMaL - Mathematical and Physical Journal for Secondary Schools
Hungarian version Information Contest Journal Articles News
Conditions
Entry form to the contest
Problems and solutions
Results of the competition
Problems of the previous years

 

 

Order KöMaL!

Ericsson

Google

ELTE

Competitions Portal

C. 1075. Find the three-digit number that is twelve times the sum of its digits.

(5 points)

Deadline expired.


Sorry, the solution is published in Hungarian only.

N=\overline{abc}=100a+10b+c=12(a+b+c) a feladat szerint: 88a-2b=11c szerint c páros, ugyanakkor 2b=11(8a-c) miatt b osztható 11-gyel. Mivel b\le9, ezért b=0 és így 8a=c, amiből c\le9 figyelembevételével a=1, c=8: \mathbf{N=108}.


Statistics on problem C. 1075.
218 students sent a solution.
5 points:128 students.
4 points:39 students.
3 points:27 students.
2 points:14 students.
1 point:7 students.
0 point:1 student.
Unfair, not evaluated:2 solutions.


  • Problems in Mathematics of KöMaL, April 2011

  • Our web pages are supported by: Ericsson   Google   SzerencsjátĂ©k Zrt.   ELTE   Nemzeti TehetsĂ©g Program National Office for Research and Technology Versenyvizsga Portál