Question

The difference between the squares of two consecutive odd numbers is 56. Find the
numbers,​

Answer 1

Step-by-step explanation:

Let the numbers be X and X+1

According to the question,

${x}^{2} - {(x + 1)}^{2} = 56$

${ \not{x}}^{2} - { \not{x}}^{2} + 2x - 1 = 56$

$2x = 57$

$\boxed{x = \frac{57}{2} }$

Hence the numbers are 57/2 and 59/2

Answer 2

Let the number be x

So the next consecutive odd number = x+2

So the equation as given in the question will be

(X + 2)^2 - X^2= 56

So X=13