Answer:
The second number in the sequence is 17.
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.