Question

Suma a doua numere x si y este 102. Daca marim numarul x cu 10% din el si micsoram numarul y cu 10% din el numerele obtinute devin direct proportionale cu 2,respectiv 3.aflati numerele x si y

Answer 1

x+y=102
x+10%x=110%x=110x/100=11x/10
y-10%y=90%y=90y/100=9y/10

11x/10=9y/10
11x/2=9y/3
11x/2=3y
y=11x/6
x+11x/6=102
6x+11x=612
17x=612
x=612/17=36
y=11*36/6=66


verificare
36+66=102
36+36*10%=39,6    
66-66*10%=59,4
39,6/2=59,4/3=19,8