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

##### 1 Answer

Aug 29, 2016

List an equation with the information supplied.

#### Explanation:

Consecutive integers are just 1 apart, so let's say our smaller integer is

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

Since the larger number also equals

#x+1=2x+7#

Moving 'like' terms,

#-6=x#

Now we plug

#-6+1=-5#

and to certify this answer

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

Bingo! The numbers are