Question

x/2=y/3=z/7=5/12 ; cat este x+y+z

Answer 1

x/2=5/12

12x=2×5

12x=10

x=10/12=5/6

y/3=5/12

12y=3×5

12y=15

y=15/12=5/4

z/7=5/12

12z=5×7

12z=35

z=35/12

x+y+z=5/6+5/4+35/12 - aducem la acelasi numitor....12

x+y+z=10/12+15/12+35/12

x+y+z=60/12

x+y+z=5

Answer 2

x / 2 = 5 / 12 ⇒ 12 x = 10 ⇒ x = 10 / 12 = 5 / 6

y / 3 = 5 / 12 ⇒ y = 15 / 12 = 5 / 4

z / 7 = 5 / 12 ⇒ z = 35 / 12

x + y + z = 10 / 12 + 15 / 12 + 35 / 12 = 60 / 12 = 5

Raspuns: x + y + z = 5