Posted by **gaberriel** on Monday, May 4, 2009 at 3:58pm.

Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417.Let n be the first one. Write an equation that will determine the three integers.

- math -
**Reiny**, Monday, May 4, 2009 at 5:55pm
let the middle number be n

let the smallest be n-1

let the largerst be n+1

then

(n-1)+(n)+(n+1) = 417

3n = 417

n = 139

the numbers are 138, 139 and 140

or

let the smallest be x

the middle one be x+1

and the largest x+2

then x + x+1 + x+2 = 417

3x + 3 = 417

3x = 414

x = 138

notice now we found the first number, since we defined it that way, the other two are 139 and 140

Does the first method look easier?

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**gaberriel**, Wednesday, May 6, 2009 at 2:43pm
yes thankyou

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