Question

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.

Answer 1

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?

Answer 2

yes thankyou