Half of the smaller of two consecutive even integers is equal to two more than the larger integer

Question

Let x=1st consecutive even integer

let x+2=2nd consecutive even integer

Answer 1

You need to translate the words into number sentences using the variables:

"one half of the smaller" ===> 1/2 x

"two more than the larger" ===> (x+2)+2=x+4

1/2 x = x+4

-x. -x

*** (1/2 - 1)x = -1/2x

-1/2x = 4

-2(-1/2x) = 4(-2)

x= -8

x+2 = -6