Dos números están en la razón 2:7. si la suma de ellos es - 36. cuáles son los números?

The numbers are "x" and "y";

We can suggest the following system of equations:

x/y=2/7

x+y=-36

We solve this system of equation by substitution method.

x/y=2/7 ⇒7x=2y ⇒ x=2y/7

(2y/7) + y=-36

2y+7y=-252

9y=-252

y=-252/9

y=-28

x+y=-36

x-28=-36

x=-36+28

x=-8

The numbers are - 8 and - 28.