Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.



Splitting the middle term, we get



Using zero product property, we get
and 
and 
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.