Question

suma a doua numere este 56 iar raportul lor este 3/5.Aflati numerele.Dau coroana!

Answer 1

x+y=56

x/y=3/5

x+y=56

5x=3y

x+y=56

5x-3y=0

x=56-y

5(56-y)-3y=0

x=56-y

280-5y-3y=0

x=56-y

8y=280

x=56-y

y=280/8

x=56-y

y=35

x=56-35

y=35

x=21

y=35.

Verificare:

35+21=56;

Bafta!

Answer 2

a+b = 56 si a/b=3/5 ⇔ a/3 = b/5 = k ⇒ a=3k si b=5k

↑

3k + 5k = 56 => k = 7

⇒ a = 21 si b = 35