Question

{x,y,z} dp {3,4,5) iar x+y+z=20
va rog mult​

Answer 1

Răspuns:

Explicație pas cu pas:

x/3 = y/4 = z/5 = k

x = 3k

y = 4k

z = 5k

x + y = z = 20

3k + 4k + 5k = 20

12k = 20

k = 20/12 = 5/3

x = 3*5/3 = 5

y = 4*5/3 = 20/3

z = 5*5/3 = 25/3

Answer 2

{ x ; y ; z } d.p { 3 ; 4 ; 5 }

x + y + z = 20

x / 3 = y / 4 = z / 5 = x + y + z / 3 + 4 + 5 = 20 / 12

x / 3 = 20 / 12

12 x = 3 × 20

12 x = 60 | : 12

x = 5

y / 4 = 20 / 12

12 y = 4 × 20

12 y = 80

y = 80 / 12

y = 20 / 3

z / 5 = 20 / 12

12 z = 5 × 20

12 z = 100

z = 100 / 12

z = 25 / 3