Show that the sum of two consecutive number is 13 to the power 2

The two numbers are 84 and 85

Step-by-step explanation:

13^2 = 169

So let the first consecutive number = x

Let the second consecutive number = x + 1

13^2 = 13*13 = 169         Develop the equation

x + x + 1 = 169               Combine Like terms on the left

2x + 1 = 169                  Subtract 1 on both sides.

2x = 169-1                     Combine the terms on the right

2x = 168                        Divide by 2

x = 168/2

x = 84

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed