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

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

Options:

Correct Answer: 14

Solution:

Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Removed number = 60 - 40 = 20.

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

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.

Average Calculation – Understanding how to calculate the average and manipulate it when numbers are added or removed.
Basic Arithmetic – Applying basic arithmetic operations to find totals and differences.