Question

Ex 3 va rog, dau coronița
Mulțumesc

Answer 1

La inceput, numerele "xnx" se descompun ca x*100+10*x*n+x,deci vom descompune pe rand:
(x*100+x*10*1+x)+(x*100+x*10*2+x)+(x*100+x*10*3+x)+(x*100+x*10*4+x)+(x*100+x*10*5+x)+(x*100+x*10*6+x)+(x*100+x*10*7+x)+(x*100+x*10*8+x)+
(x*100+x*10*9+x)=900*x+450*x+9x=1359x;
Acum,analogic descompunem numitorul:
x*100+5*10*x+x=151x;
Calculam catul lor:
(1359/151)x=9x;9x∈N;