Asked by Angie
                When you solve questions like "The sum of 3 consecutive integers is 147. Find the integers." do you find consecutive even integers and consecutive odd integers the same way?
            
            
        Answers
                    Answered by
            Reiny
            
    consecutive integers are one unit apart,
so 3 of them would be x, x+1, and x+2
both even or odd consecutive integers are 2 units apart,
you would define 3 of them as x, x+2, x+4
whether you x comes out as either even or odd will depend on the sum that is given.
the sum of 3 even consecutive numbers are always even, while the sum of 3 consecutive odd numbers will always be odd.
    
so 3 of them would be x, x+1, and x+2
both even or odd consecutive integers are 2 units apart,
you would define 3 of them as x, x+2, x+4
whether you x comes out as either even or odd will depend on the sum that is given.
the sum of 3 even consecutive numbers are always even, while the sum of 3 consecutive odd numbers will always be odd.
                    Answered by
            Angie
            
    thanks
    
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