Question

the difference between the square of two consecutive odd number is 56 find the number

Answer 1

Let no is X
acc to question
(x+1)square - xsquare =56
xsquare + 2x +1 -xsquare =56
2x +1 =56
x = 27.5
as the no are consequitive odd no so no are
13 and 15

Answer 2

Let the number be x & x-2,(as given 2 consecutive odd number)

ATQ, x^2 - (x-2)^2 =56
x^2- x^2+ 4x- 4=56
On solving x=15
So, the two consecutive odd number be 13, 15