Fie a si b numerele cautate, atunci:
(a+b)/2=8,(4) <=>
(a+b)/2=8+4/9 <=>
(a+b)/2=(8*9+4)/9 <=>
(a+b)/2=76/9 <=>
a+b=152/9 (1)
a/b=0,(36) <=>
a/b=36/9 <=>
a/b=4 <=>
a=4b (2)
Inlocuind relatia (2) in relatia (1) se obtine:
a+4b=152/9 <=>
5b=152/9 <=>
b= 152/45 =>
a=4*152/45 =>
a=608/45
Asadar numerele sunt a= 608/45 si b= 152/45
