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The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.
Let x equal the first mile marker. Write an expression for the second mile marker.

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altavistard

Answer:

Step-by-step explanation:

Let x equal the first mile marker.  Then x + 1 represents the second mile marker.

Then x + (x + 1) = 561, or

2x + 1 = 561, or

2x = 560, and so x = 280

Then the first mile marker reads 280 and the second mile marker reads 281.

ajeigbeibraheem

The sum of two consecutive mile markers on the interstate is 561. The numbers on the markers are x = 280 and (x+1) = 281. The expression for the second-mile marker = (x+1)

Consecutive numbers are those numbers that come after each other in ascending sequence from the lowest to the highest.

From the given information;

  • Let x = first mile marker
  • Then x + 1 = second mile marker

The sum of the above two consecutive numbers is said to be equal to 561.

i.e.

x + (x + 1) = 561

Open brackets

x + x + 1 = 561

2x + 1 = 561

2x = 561 - 1

2x = 560

Divide both sides by 2

[tex]\mathbf{\dfrac{2x }{2}= \dfrac{560}{2}}[/tex]

x = 280

As such,

  • the first-mile marker which is the first consecutive number = 280
  • the second-mile marker which is the second consecutive number is:
  • = x + 1
  • = 280 + 1
  • = 281

Therefore, we can conclude that the numbers on the markers are x = 280 and (x+1) = 281. The expression for the second-mile marker = (x+1)

Learn more about consecutive numbers here:

https://brainly.com/question/2493629?referrer=searchResults

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