SOLUTION: Hi, i'm doing a worksheet from algebra 1 about problem solving using equations, but there is for questions asking pretty much the same thing that I do not get. The first one says,"

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You're on the right track, but you only need to use one variable. Consecutive integers are integers like 1, 2, 3, 4, etc. So algebraically, they follow the pattern x, x+1, x+2, etc


So this means that

x=first number

x+1=second number

x+2=third number


Since the "sum of three consecutive integers is 279", this means that





Remove the parenthesis


Combine like terms on the left side.


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the answer is which means that the first number is 92, the second number is 93, and the third number is 94



Check:

92+93+94=279 ... works