Question

The larger of two consecutive integers is 7 greater than twice the smaller. What are the integers?

Answer 1

List an equation with the information supplied.

Explanation:

Consecutive integers are just 1 apart, so let's say our smaller integer is `x` and the larger is

`2x+7 -> 7` greater than twice the smaller number

Since the larger number also equals `x+1`

`x+1=2x+7`

Moving 'like' terms,

`-6=x`

Now we plug `x` to know the larger number

`-6+1=-5`

and to certify this answer

`2(-6)+7=-12+7=-5`

Bingo! The numbers are `-6` and `-5`.