Question

The difference between the squares of two consecutive numbers is 31. Find the numbers

Answer 1

Let the numbers be x and x+1.
As per the question,
( x+1)^2 - x^2 = 31
x^2 +2x+1-x^2= 31
2x +1= 31
2x= 30
x= 15.
Numbers will be 15 and 16.