Problema Solution
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 the 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 provided by our tutors
'x' represents the first of the consecutive numbers
'x + 1" will be the second of the consecutive numbers
Since x + 1 > x we conclude that x+1 is the largest of the two consecutive numbers.
The sum of x and x+1 is 41:
x + (x + 1) = 41
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click here to see the equation solved for x
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x = 20
x + 1 = 20 + 1 = 21
The largest of the consecutive numbers is 21.