Three consecutive odd numbers have a sum of 75.

What is the greatest number?

Let us assume the first odd number = x

Then the second consecutive odd number = x + 2

The third consecutive odd number = x + 4

The addition of the three consecutive odd numbers = 75

Then we can write the equation as

x + x + 2 + x + 4 = 75

3x + 6 = 75

3x = 75 - 6

3x = 69

x = 69/3

= 23

Then

The greatest odd number in the question = X + 4

= 23 + 4

= 27

So the greatest odd number in the question is 27.