SOLUTION: four times the sum of three consecutive integers is 180 What are the integers?

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Question 237994: four times the sum of three consecutive integers is 180 What are the integers?



Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
First, we know we need 3 consecutive integers, so you can say:
1. x
2. x+1
3. x+2
Now, their sum is multiplied by 4 in order to equal 180. So, here's your equation:
4%28x%2B%28x%2B1%29%2B%28x%2B2%29%29=180
Now solve for x...
4%283x%2B3%29=180
12x%2B12=180
12x=180-12
12x=168
Now divide by 12 on both sides to find x.
I'll let you do it.
The result will give you the first digit (step 1.) above.
Then you can figure out the other two numbers.
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Proof:
Plug those 3 numbers in this equation, see if you get 180=180.
4%28x%2B%28x%2B1%29%2B%28x%2B2%29%29=180