Question

Stiind ca a+b=11 determinati numarul x , indicatia fiind ca se da factor comun si se inlocuieste apoi a+b=11: 8.a+x+8.b=93, 5.x+4.a+3.b=85-2.b-a, a+x.b+x.a+b=132

Answer 1

8a+x+8b=93
8a+8b+x=93
8(a+b)+x=93
8*11+x=93, X=5

5x+4a+3b=85-2b-a
5x+4a+a+3b+2b=85
5x+5a+5b=85
5x+5(a+b)=85
5x+5*11=85
5x=30
x=6

a+xb+ax+b=132
a+b+x(a+b)=132
(a+b)(1+x)=132
11*(1+x)=132
1+x=12
x=11