SOLUTION: the larger of two consecutive integers is 7 greater than twice the smaller. find the integers. make and solve an equation

Question 36287: the larger of two consecutive integers is 7 greater than twice the smaller. find the integers. make and solve an equation
Found 2 solutions by checkley71, vidhyak:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X & X+1 ARE THE TWO CONSECUTIVE INTERGERS THEN THE INTEGERS ARE X+1=2X+7
OR -X=6 OR X=-6 OR THE TWO CONSECUTIVE DIGITS ARE (-6 & -5) OR -6+1=2*-6+7 OR -5=-12+7 OR -5=-5
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
The larger of two consecutive integers is 7 greater than twice the smaller. find the integers. make and solve an equation

Let the smallest integer be x
Since the numbers are 2 consecutive integers, let the largest integer be x+1

The larger of two integers is 7 greater than twice the smaller.
The equation is

x + 1 = 2x + 7
x - 2x = 7 - 1
-x = 6
x = -6

Since x is the smallest integer, - 6 is the smallest integer
Since x+1 is the largest integer, - 6+1 = -5 is the largest integer

we can verify the answer
The larger of two integers is 7 greater than twice the smaller.
-5 = 2(-6)+7
RELATED QUESTIONS
The larger of two consecutive integers is 7 greater than twice the smaller. Find the... (answered by checkley71)
The larger of two consecutive integers is 7 greater than twice the smaller. Find the... (answered by stanbon)
The larger of two consecutive integers is 7 greater than twice the smaller. Find the... (answered by checkley77)
the larger of two consecutive ingers is 7 greater than twice the smaller. find the... (answered by checkley71)
The larger of two consecutive intergers is 7 greater than twice the smaller. Find the... (answered by checkley71)
The larger of two consecutive intergers is 7 greater than twice the smaller. Find the... (answered by checkley71)
the larger of the two consecutive intergers is 7 greater than twice the smaller. Find the (answered by checkley71)
The larger of tow consecutive integers is 10 greater than twice the smaller. Find the... (answered by edjones)
The larger of two consecutive integers is 7 greater than twice the smaller. Find the... (answered by graphmatics)