Question 358048
Take it one phrase at a time:

So "two consecutive integers" means we are working with 2 whole numbers greater than 0 and are right next to each other on the number line.

I would call these numbers X and X+1 

So the "larger of the two" is X+1, so that would be first in your equation

The next word is "is" which means equals so,

X+1=

"Six less than"

So you know that the equation ends in -6

"Twice the smaller", well X is smaller so it would be 2X

This means the entire equation is:

X+1=2X-6

Then subtract 2X on both sides to get:

-X+1=-6

Then subtract 1 on both sides to get:

-X=-7

Divide by -1 and so the answer is:

X=7 

Then you need to plug it into X+1 to get the other number:

X+1

7+1

8

So your answer would be 7 and 8