Find two consecutive even integers whose sum is 14

Let x = small number

Let y = large 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