Posted by **Angie** on Wednesday, June 3, 2009 at 9:05pm.

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?

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**Reiny**, Wednesday, June 3, 2009 at 9:19pm
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.

- Math -
**Angie**, Wednesday, June 3, 2009 at 9:46pm
thanks

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