What are the integers?

Question

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

Answer 1

The 3 consecutive odd integers are:

 

n (least)

n+2

n+4 (greatest)

 

Then

 

2n = 3(n+4) + 15

 

2n = 3n + 12 + 15 

 

-n = 27

 

n = -27

 

Then n+2 = -25, n+4 = -23

 

The 3 integers are -27, -25, and -23