Problem C. 880. (January 2007)
C. 880. Which six-digit number will be multiplied by three if its first digit is reduced by three and a digit of three is attached to the end?
(5 pont)
Deadline expired on February 15, 2007.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás: A keresett hatjegyű számot írjuk alakban, ahol a=3, 4, 5, 6, 7, 8, 9, a b pedig ötjegyű egész szám. A szöveg szerint:
Csak az a=4 esetén kapnuk b-re ötjegyű pozitív egész számot: . Vagyis a keresett szám: .
Valóban .
Statistics:
437 students sent a solution. 5 points: 415 students. 4 points: 3 students. 3 points: 1 student. 2 points: 2 students. 1 point: 5 students. 0 point: 5 students. Unfair, not evaluated: 6 solutionss.
Problems in Mathematics of KöMaL, January 2007