Aflati doua numere care au raportul 0,5si suma 75

Răspuns :

a/b = 5/10 => 10a=5b

a+b=75 => a = 75-b

10 (75-b) = 5b
750-10b=5b
750=15b
b=750:15
b=50

a=75-b
a=75-50
a=25
a/b=5/10=>a/b=1/2=>b=2a
a+b=75
a+2a=75
a=75:3
a=25
b=2x25
b=50