Question

Determinati numarul de 3 cifre abc, stiind ca ab + bc + ca= abc si a nu e egal cu 0

Answer 1

abc numarul
ab+bc+ca= abc
10a+b+10b+c+10c+a = abc
11a+11b+11c = abc
11(a+b+c) = abc
a+b+c = abc :11
a=1; b=9; c= 8
1+9+8 = 198:11
18 = 18
=> 19+98+81 = 198
abc = 198