Final answer:
To find the value of the greater integer, we can set up an equation using the given information and solve for x. The value of the greater integer is -7/3 or approximately -2.33.
Step-by-step explanation:
To solve this problem, we need to set up an equation using the given information. Let's denote the first consecutive integer as x. Since the next consecutive integer is one more than x, we can represent it as x + 1. The problem states that when 7 times the next consecutive integer is subtracted from it, the difference is 13. This can be written as:
x - 7(x + 1) = 13
Simplifying the equation:
x - 7x - 7 = 13
-6x - 7 = 13
-6x = 20
x = -20/6 = -10/3
The value of the greater integer, which is x + 1, is:
x + 1 = -10/3 + 1 = -10/3 + 3/3 = -7/3
Therefore, the value of the greater integer is -7/3 or approximately -2.33.
Learn more about Finding the value of the greater integer in a subtraction problem