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

1 Answer

Answer:

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#.