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If the average of three consecutive integers is x, what is the value of x? (2023

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Question: If the average of three consecutive integers is x, what is the value of x? (2023)

Options:

  1. x-1
  2. x
  3. x+1
  4. x+2

Correct Answer: x

Exam Year: 2023

Solution: 

Let the integers be (x-1), x, and (x+1). Their average is (x-1 + x + x+1) / 3 = x.

If the average of three consecutive integers is x, what is the value of x? (2023

Practice Questions

Q1
If the average of three consecutive integers is x, what is the value of x? (2023)
  1. x-1
  2. x
  3. x+1
  4. x+2

Questions & Step-by-Step Solutions

If the average of three consecutive integers is x, what is the value of x? (2023)
  • Step 1: Identify three consecutive integers. Let's call them (x-1), x, and (x+1).
  • Step 2: Add the three integers together: (x-1) + x + (x+1).
  • Step 3: Simplify the sum: (x-1) + x + (x+1) = 3x.
  • Step 4: To find the average, divide the sum by 3: (3x) / 3.
  • Step 5: Simplify the average: (3x) / 3 = x.
  • Step 6: Conclude that the average of the three consecutive integers is x.
  • Average of Consecutive Integers – Understanding how to calculate the average of a set of consecutive integers.
  • Properties of Integers – Recognizing that consecutive integers can be represented in terms of a central integer.
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