Question

The sum of two consecutive numbers is 41. What is the largest of the consecutive numbers? Set up an equation that represents the sum of the numbers. Use variable, x, to represent the first of the consecutive numbers. In the form of a paragraph, explain in complete sentences the steps necessary to set up the equation, include the final equation in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

Let X = the smaller number

The larger number would be X+1

So you have:

x + x +1 = 41

Simplify:

2x +1 = 41

Subtract 1 from each side:

2x = 40

Divide both sides by 2:

x = 40/2

x = 20

Smaller number = x = 20

Larger number = x +1 = 20 +1 = 21