Răspuns:
Explicație pas cu pas:
a/2 = b/4 = k ⇒ a = 2 k si b = 4 k
____________________________
3 a + 5 b = 52
3 × 2 k + 5 × 4 k = 52
6 k + 20 k = 52
26 k = 52
k = 52 : 26 ⇒ k = 2
______________________
a = 2 × 2 ⇒ a = 4
b = 4 × 2 ⇒ b = 8
_____________________________________________
Verific:
4/2 = 8/4 = 2 √
3 × 4 + 5 × 8 = 12 + 40 = 52 √
