The average of 5 numbers is 12. If one number is removed, the average becomes 10

Practice Questions

Q1
The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
  1. 8
  2. 10
  3. 12
  4. 14

Questions & Step-by-Step Solutions

The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
Correct Answer: 20
  • Step 1: Understand that the average of 5 numbers is 12.
  • Step 2: To find the total of these 5 numbers, multiply the average by the number of numbers: 5 * 12 = 60.
  • Step 3: When one number is removed, the average of the remaining 4 numbers is 10.
  • Step 4: To find the total of these 4 numbers, multiply the new average by the number of remaining numbers: 4 * 10 = 40.
  • Step 5: The removed number can be found by subtracting the total of the 4 numbers from the total of the 5 numbers: 60 - 40 = 20.
  • Step 6: Therefore, the removed number is 20.
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