Answer:
Integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be [tex]x,x+2[/tex] such that [tex]x<x+2[/tex]
Six times the lesser of the two consecutive even integers is 4 times the greater even integer.
So,
[tex]6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4[/tex]
Other integer [tex]=x+2=4+2=6[/tex]