Question 231257
We need 2 Equations with 2 Variables. 
Consecutive even numbers have a difference of 2. For example, 4-2=2. 6-4=2,8-6=2. 
Let x= the larger number
Let y= the smaller number 
 
Eqn 1: x-y=2
Eqn 2: x*y=80

Rearrange Eqn 1 to isolate for x:
Eqn 1: x=2+y 
Sub this into Eqn 2: 
(2+y)*y=80
2y+y^2=80
y^2+2y-80=0

Factor (think, what numbers multiply to -80 and add up to +2?:
(y+10)(y-8)=0

y=-10 or y=8
Sub the positive answer (+8) into Eqn 1: 
x-8=2
x=10
The two numbers are 10 and 8.