Question

The greater of two consecutive even integers is six less than twice the smaller. What are the integers?

Answer 1

Let the integers be x and x+2. then:-

x + 2 = 2x - 6

x = 8

The integers are  8 and 10  Answer

Answer 2

Two consecutive integers can be written as $x$ and $x+1$.

So, six less than twice the smaller is $2x-6$, and this equals the greater, which is $x+1$. So the equality is

$2x - 6 = x+1$

Subtract x from both sides:

$x-6 = 1$

Add 6 to both sides:

$x = 7$

So, the integers are 7 and 8. In fact, the greater (8) is six less than twice the smaller (2*7-6 = 14-6=8)