Let the three odd consecutive numbers are (2 x + 1), (2x + 3) and (2x + 5).
According to question,
(2x + 1) + (2x + 3) + (2x + 5) = 39
⇒ 2x + 1 + 2x + 3 + 2x + 5 = 39
⇒ 6x + 9 = 39
⇒ 6x = 39 – 9
⇒ x = 30/6
⇒ x = 5
First odd number = 2x +1
= 2 x 5 + 1 = 11
Second odd number= 2x +3
= 2 x 5 + 3 = 13
and third odd umber= 2x +5
= 2 x 5 + 5 = 15
So, three consecutive odd numbers are 11, 13 and 15.