SOLUTION: The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers. (4 steps)

Question 404781: The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers. (4 steps)
Answer by IWork4Dessert(60) (Show Source): You can put this solution on YOUR website!
You know that the integers are consecutive. That means that no matter what they are(2,3,4 or 100, 101, 102), the second number will always be one greater than the first and the third will always be one greater than the second.
So your three integers are:
x+1
x+2
x+3
You know that your first integer(x+1) and your third integer(x+3)--that is to say, your least and greatest integers--are equal to 60. Thus:
(x+1)+(x+3)=60
2x+4=60
2x=56
x=28
Now you can test it out.
(29)+(31)=60.
The three consecutive integers are 29, 30, and 31.
Your four steps?
1. (x+1)+(x+3)=60
2. 2x+4=60
3. 2x=56
4. x=28
Hope this helps!
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