Problema Solution

if the sum of six consecutive odd integers is 240, what is the smallest of the five integers?

Answer provided by our tutors

let (2n+1) represent the smallest integer, then the remaining five integers are represented by:

(2n+3), (2n+5), (2n+7), (2n+9) and (2n+11)


240 = (2n+1) + (2n+3) + (2n+5) + (2n+7) + (2n+9) + (2n+11)

solving for n:

n=17


2*17+1 = 35


the smallest integer is 35