the sum of the least and greatest integer is 35 more than the middle integer
I think you need to
(a) indicate how far apart are the integers
(b) just what it is you want to know.
18
To find the solution to this problem, let's break it down step by step.
Let's assume that the middle integer is represented by the variable "x."
According to the given information, the sum of the least and greatest integer is 35 more than the middle integer.
The least integer would be one less than the middle integer, so it can be represented by (x - 1).
The greatest integer would be one more than the middle integer, so it can be represented by (x + 1).
Accordingly, the equation can be formed as follows:
(x - 1) + (x + 1) = x + 35
Simplifying the equation:
2x = x + 36
Now, let's solve for x:
2x - x = 36
x = 36
Therefore, the middle integer, x, is equal to 36.
To find the least integer, subtract 1 from x:
Least integer = x - 1 = 36 - 1 = 35
To find the greatest integer, add 1 to x:
Greatest integer = x + 1 = 36 + 1 = 37
So, the least integer is 35, the middle integer is 36, and the greatest integer is 37.