The sum of two numbers is 5 and their difference is 2. which of the following could be the difference of their squares

I will mark whoever solve it correct as Brainlist

Respuesta :

Answer:

10

Step-by-step explanation:

Let the first number be x, and the second number be y.

x + y = 5

x - y = 2

Solve for x in first equation.

x + y = 5

x = 5 - y

Put x as 5-y in the second equation, and solve for y.

(5-y) - y = 2

5 - 2y = 2

-2y = -3

y = 3/2

Put y as 3/2 in the first equation and solve for x.

x + y = 5

x + 3/2 = 5

x = 7/2

The difference of their squares would be:

(7/2)² - (3/2)²

49/4 - 9/4

40/4 = 10