Find three consecutive odd integers

Question

Find three consecutive odd integers such that twice the difference of the third and first integers is fifteen less than the second integer

Answer 1

The three consecutive odd integers are

n

n + 2

n + 4

The wording of the problem translates into

2[(n + 4) - n] = (n + 2) - 15

8 = n - 13

n = 21

n + 2 = 23

n + 4 = 25

Test the answers.