👤

Numerele x;y;z sunt invers proportionale cu numerele 2,3,4 a)ordonati numerele crescator b) daca 4x+6y+4z=6,aflati numerele x;y;z

Răspuns :

a)2x=3y=4z =>z < y < x
b)2x=3y=4z=k
x=k/2 ; y=k/3 ; z=k/4
4•k/2 + 6•k/3 + 4•k/4 = 6
2k+2k+k=6
5k=6 =>k=6/5
x=6/5 • 1/2 = 3/5
y=6/5 • 1/3 = 2/5
z=6/5 • 1/4 = 3/10