Question

aflati numerele a,b,c stiind ca suntb invers proportionele cu numerele :6;10;16 si a=8
va rog ajutatima dau coroana!!!!!

Answer 1

[ a;  b;  c]  i.p.  [ 6;  10;  16]    si   a = 8

a / ( 1 / 6 ) = b / ( 1 / 10 ) = c / ( 1 / 16 )

⇒  6 a = 10 b = 16 c

a = 8 ⇒  6 a = 48

10 b = 48 ⇒ b = 4,8

16 c = 48 ⇒  c = 48 : 16  ⇒  c = 3

Answer 2

$\it \{a,b,c\}\ i.p.\ \{6,10,16\} \Rightarrow 6a=10b=16c\ \ \ \ (1)\\ \\ a=8\ \ \ (2)\\ \\ (1),(2)\Rightarrow 48=10b=16c\Rightarrow\begin{cases}\it10b=48\Rightarrow b=48:10\Rightarrowb=4,8\\ \\ \it16c=48\Rightarrow c=48:16\Rightarrow c=3.\end{cases}$