Question

Suma a doua numere reale este 2,(4), iar diferenta lor este egala cu 1,2. Determinati cele doua numere reale.

Answer 1

a+b=24-2/9=22/9;
a=12/10+b;
⇒12/10+b+b=22/9
⇒12/10+2b=22/9
⇒2b=22/9-12/10
⇒2b=220/90-108/90
⇒2b=112/90
⇒2b=56/45
⇒2b·45=56
⇒90b=56⇒b=56/90=28/45⇒b=28/45;
⇒a=12/10+28/45
⇒a=108/90+56/90
⇒a=164/90=82/45;