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The average of three numbers is 30. If one of the numbers is 10, what is the ave

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Question: The average of three numbers is 30. If one of the numbers is 10, what is the average of the other two numbers?

Options:

  1. 25
  2. 30
  3. 35
  4. 40

Correct Answer: 25

Solution: 

Let the three numbers be a, b, and c. We have (a + b + c) / 3 = 30. Thus, a + b + c = 90. If c = 10, then a + b = 90 - 10 = 80. The average of a and b is 80 / 2 = 40.

The average of three numbers is 30. If one of the numbers is 10, what is the ave

Practice Questions

Q1
The average of three numbers is 30. If one of the numbers is 10, what is the average of the other two numbers?
  1. 25
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

The average of three numbers is 30. If one of the numbers is 10, what is the average of the other two numbers?
Correct Answer: 40
  • Step 1: Understand that the average of three numbers is given as 30.
  • Step 2: Recall that the average is calculated by adding the numbers together and dividing by the total count of numbers.
  • Step 3: Set up the equation for the average: (a + b + c) / 3 = 30.
  • Step 4: Multiply both sides of the equation by 3 to eliminate the division: a + b + c = 90.
  • Step 5: Identify that one of the numbers, c, is 10.
  • Step 6: Substitute c with 10 in the equation: a + b + 10 = 90.
  • Step 7: Solve for a + b by subtracting 10 from both sides: a + b = 90 - 10 = 80.
  • Step 8: To find the average of the two numbers a and b, divide their sum by 2: (a + b) / 2 = 80 / 2.
  • Step 9: Calculate the average: 80 / 2 = 40.
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how to manipulate equations involving averages.
  • Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns.
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