Question 293005
Let x = the smaller number
Let y = the larger number

Because they are consecutive even numbers, they must have a difference of 2:

y-x=2
y=2+x


Eqn 1: x + (2+x) = 14
Eqn 2: x(2+x)=48


2x + 2 = 14
2x=12
x=6


This means y must be 8.


so your two numbers are 6 and 8.