Question

se considera 3 numere rationale x y z astfel incat x/2=y/3=z/5...sa se afle cele trei nr stiind ca x/2+y/3+z/5=6/7
VA ROG, AJUTOR!

Answer 1

Răspuns

x=4/7,y=6/7,z=10/7

Explicație pas cu pas:

x/2=y/3=z/5

x/2+y/3+z/5=6/7

Atunci putem inlocui x/2 si z/5 cu y/3. Deci:

y/3+y/3+y/3=6/7

y=6/7

x/2=y/3

x=2/3*6/7=4/7

z/5=y/3

z=5/3*6/7=30/21=10/7

Answer 2

x/2+y/3+z/5=6/7
3 * x/2 = 6/7
rezulta x= 4/7

y=3x/2 = 6/7
z=5x/2 = 10/7