Answer:

The second number in the sequence is 17.

Step-by-step explanation:

Let the three consecutive odd numbers be 2x-1,2x+1 and 2x+3

As per the question, the sum of the 2 odd numbers is 51.

So forming the relevant equation:

(2x-1) + (2x+1) + (2x+3) = 51

=> 6x + 3 = 51

=> 6x = 51-3 = 48

=> x = 48/6 = 8

Calculating the individual numbers:

  • 2x-1 = 2*8 -1 = 16 – 1 = 15
  • 2x+1 = 2*8+1 = 16 + 1 ¬†= 17
  • 2x+3 = 2*8 +3 = 16 + 3 = 19

So the consecutive odd numbers are 15,17,19 and the second number in the sequence is 17.