Question

Daca a si b numere naturale,astfel incat a+b/b=8/5, iar (a;b)= 14, atunci a=...... si b=......

Answer 1

(a,b)=14⇒a=14k, b=14t   (k,t)=1 (!)
a+b/b=8/5
14k+14t/14t=8/5
k+t/t=8/5
k/t+1=8/5
k/t=3/5⇒k=3 ,t=5
a=14*k⇒a=42
b=14*t⇒b=70