Question

stiind ca a/b =3/5 ,b-a =1,aflati numerele a si b

Answer 1

a/b=3/5 → b=5a/3
b-a=1 → b=1+a

Alcatuim egalitatea:
1+a=5a/3
a-5a/3=-1
(3a-5a)/3=-1
-2a/3=-1
-2a=-1*3
-2a=-3
a=3/2
b=1+ 3/2=2/2 + 3/2 =5/2