don't understand help please
When one half of the second of two consecutive integers is subtracted from the first of the two consecutive integers, the result is 2.
Let N be the first (lower) integer
N - (N+1)/2 = 2
Double both sides
2N - (N+1) = 4
N -1 = 4
N = 5
The larger consecutive integer is 6.
Sure, I can help you with that.
To solve this problem, let's first understand what we are trying to find. The problem states that we have two consecutive integers, let's call them "x" and "x+1".
According to the problem, the first integer minus half of the second integer should result in 2. We can express this mathematically as:
x - (1/2)*(x+1) = 2
To solve this equation, we can follow these steps:
Step 1: Distribute the (1/2)*(x+1) term:
x - (1/2)*x - (1/2)*1 = 2
Step 2: Simplify the equation:
x - (1/2)*x - 1/2 = 2
Step 3: Combine like terms:
(1/2)*x - 1/2 = 2
Step 4: Add 1/2 to both sides to isolate the term with the variable:
(1/2)*x - 1/2 + 1/2 = 2 + 1/2
Simplifying further, we get:
(1/2)*x = 5/2
Step 5: Multiply both sides of the equation by 2 to get rid of the fraction:
2 * ((1/2)*x) = 2 * (5/2)
Simplifying further, we get:
x = 5
So the first consecutive integer is 5. We can find the second consecutive integer by adding 1 to it:
x + 1 = 5 + 1 = 6
Therefore, the two consecutive integers are 5 and 6.