Question 36287
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