Problema Solution

Two times the least of three consecutive odd integers exceeds three times the greatest by 15. What are the integers?

Answer provided by our tutors

let '2n+1' represent the smallest odd integer, then '2n+3' and '2n+5' represent the next two consecutive odd integers


2(2n+1) = 3(2n+5) + 15

4n+2 = 6n+15+15

2n = 2-30 = -28

n = -14


2*(-14)+1 = -27


the integers are -27, -25 and -23