Question

suma a doua numere este egala 48 iar raportul lui este 3/5

Answer 1

a + b = 48
a/b = 3/5
a = 3b/5
3b/5 + b = 48
3b + 5b = 240
8b = 240
b = 240 : 8
b = 30
a = 48 - 30
a = 18

Answer 2

Notam cele doua numere cu a si b.

a + b = 48


$\it\dfrac{a}{b} =\dfrac{3}{5}\Rightarrow \dfrac{a}{3}=\dfrac{b}{5}=\dfrac{a+b}{3+5}=\dfrac{48}{8}=6\ \ \ (*)$

$\it(*) \Rightarrow \dfrac{a}{3}=6 \Rightarrow a= 3\cdot6 \Rightarrow a = 18$

$\it(*) \Rightarrow \dfrac{b}{5}=6 \Rightarrow b= 5\cdot6 \Rightarrow b = 30\ .$