Question

The sum of the least and greatest of the three consecutive odd integers is 114. What is the middle(second) of the three integers?

Answer 1

An odd number is represented always as 2n+1 or 2n-1, where n is an integer:

So, 3 consecutive ODD number are : 2n+1, 2n+3 and 2n+5

2n+1 + 2n + 5 = 114 → 4n +6 =114 → 4n = 108 and n = 27. Then the

1st odd is 2n+1 = 55
2nd consecutive odd 2n+3 = 57
3rd consecutive odd 2n+5 = 59