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

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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