Question

Dau 100 de puncte si coaroanaaa!!!!!!!!Determinati numerele rationale x, y, z stiind ca sunt indeplinite, simultan , conditiile (1) x/2=y/3 (2) y/6=z/8 (3) x/2+y/3+z/4=90

Answer 1

x/2=y/3

y/6=z/8

y/3=z/4                      

x/2=x/3=z/4=a

3a=90

a=90:3

a=30

x=60
y=90
z=120

Answer 2

1) x/2 = y/3      ⇒ x = 2y/3      
2) y/6 = z/8      ⇒ z = 8y/6
3) x/2 + y/3 + z/4 = 90
2y/3/ 2 + y/3 + 8y/6/4 = 90
y/3 + y/3 + 2y/6 = 90
y/3 + y/3 + y/3 = 90
3y/3 = 90
y = 90
z = 8 * 90/6
z = 8 * 15
z = 120
x = 2 * 90/3
x = 2 * 30
x = 60