Question

aflati numerele x,y,z stiind ca x supra 3 = y supra 7 = z supra 11 si x+2y+3z=200

Answer 1

$\frac{x}{3} = \frac{y}{7} = \frac{z}{11} = k \: \: = >$
=> x=3k
y=7k
z=11k
x+2y+3z=200 =>
3k+14k+33k=200
50k=200
k=4 =>×=12; y=28; z=44.


Sper ca te-am ajutat!

Answer 2

x / 3 = y / 7 = z / 11 = k    ⇒ x = 3 k;    y = 7 k;   z = 11 k

x + 2 y + 3 z = 200

3 k + 2 × 7 k + 3 × 11 k = 200

3 k + 14 k + 33 k = 200

50 k = 200  ⇒  k = 200 : 50   ⇒  k = 4

x = 3 × 4  ⇒ x = 12

y = 7 × 4 ⇒ y = 28

z = 11 × 4 ⇒ z = 44

Verific:

12 / 3 = 28 / 7 = 44 / 11 =  4

12 + 2 × 28 + 3 × 44 = 12 + 56 + 132 = 200