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lana66690 [7]
4 years ago
6

The sum of three consecutive integers is three more than twice the middle integer. Create an equation and solve to find the inte

gers.
Can someone please help me out?
Mathematics
1 answer:
12345 [234]4 years ago
7 0
Three consecutive integers...
Let call the first integer as ''x''.
They are consecutive integers. So, we have: x, x+1, x+2.
The sum is (x+(x+1)+(x+2)).
The sum is three more than twice the middle integer (x+1). So, we get the following equation:

3*(x+(x+1)+(x+2)) = 2*(x+1)

Let's solve the equation:
1. Multiplying...
3x + 3x + 3 + 3x + 6 = 2x + 2

2. Adding the terms...
9x + 9 = 2x + 2

3. Let's subtract 2x from both sides...
9x - 2x + 9 = 2x - 2x+ 2

7x + 9 = 2

Now, let's subtract 9...
7x + 9 - 9 = 2 - 9
7x = -7

Now, divide both sides by 7...
7x/7 = -7/7

So, we have:
x = - 1

First integer: x = -1
Second integer: x + 1 => -1 + 1 = 0
Third integer: x + 2 => -1 + 2 = 1

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