Question

Aflati nr a si b stiind ca sunt direct proportionale cu 5 si 8 iar b-a=9

va rog e urgentt​

Answer 1

Răspuns:

a/5=b/8=k

a=5k b= 8k

8k-5k =9

3k =9

3k = 9÷3

k=3

a= 3×5

a=15

b= 8×3

b= 24

Answer 2

$\it b-a=9\ \ \ \ \ (*)\\ \\ \\ \{b,\ \ a\}\ d.\ p.\ \{8,\ \ 5\}\Rightarrow \dfrac{b}{8}=\dfrac{a}{5}=\dfrac{b-a}{8-5}\ \stackrel{(*)}{=}\ \dfrac{9}{3}=3\\ \\ \\ \dfrac{a}{5}=3 \Rightarrow a=5\cdot3=15\\ \\ \\ \dfrac{b}{8}=3 \Rightarrow b=8\cdot3=24$