The difference between the squares of two consecutive numbers is 37. Find the numbers.  Select
A) 14-15  B) 20-23  C) 11-12  D) 18-19  E) 13-14
If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2   (37-1)/2 and (37+1)/2   36/2 and 38/2   Therefore the required answer = 18 and 19.
<result>D</result>
The difference between the squares of two consecutive numbers is 37. Find the numbers.