Question

Daca a+b=5 supra 3 si a-b= 1 supra 3, Determinati numerele

Answer 1

a+b=5/3;
a=b+1/3;
⇒b+1/3+b=5/3
⇒2b=4/3
⇒b=4/3·1/2
⇒b=4/6⇒b=2/3;
⇒a=2/3+1/3
⇒a=3/3⇒a=1;

Answer 2

$a+b= \frac{5}{3} \\ a-b= \frac{1}{3}=\ \textgreater \ a= \frac{1}{3}+b \\ inlocuim: \\ a+b= \frac{5}{3} \\ b+ \frac{1}{3}+b= \frac{5}{3} \\ 2b= \frac{5-1}{3}= \frac{4}{3} \\ b= \frac{4}{3}:2= \frac{2}{3} \\ a= \frac{1+2}{3}=1$