SOLUTION: "Write an equation to represent the stated relationship among integers." There are four consecutive integers. Three times the greatest is six more that the sum of the other thre

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Question 318340: "Write an equation to represent the stated relationship among integers."
There are four consecutive integers. Three times the greatest is six more that the sum of the other three.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the first of four consecutive integers. Then the other three are: , , and

Three times the greatest is:

The sum of the other three:

So:


Simplified:



From which we can see that the stated relationship is valid for ALL integers.

John


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