Question

x,y,z invers proportional 2,6,8 x+y+z=462 Ajutatima

Answer 1

x+y+z=462
{x,y,z}i.p.{2,6,8}
x supra1pe2=y supra1pe 6=z supra 1pe 8=K
xsupra 1pe 2=K
x=1pe 2×K
y supra 1 pe 6=K
y=1pe 6×K
z supra 1 pe 8=K
z=1pe 8×K
x+y+z=462
1pe2×k+1pe 6×K+1pe 8×K=462
k×(1\2+1\6+1\8)=462
k×(48\96+16\96+12\96)=462
k×76\96=462
K×76=462×96
k=(462×96)÷76
de aici faci singur