Question

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

Answer 1

let one number=X

another number=X+1

according to the problem

(X+1)^2 - X^2=31

x^2+2x+1 -x^2=31

2x+1=31

2x=31-1

2x=30

X=30/2

X=15

one number= X=15

another number=X+1=15+1

=16