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The average of 5 numbers is 12. If one number is removed, the average becomes 10
The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Removed number = 60 - 40 = 20.
Questions & Step-by-step Solutions
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Q
Q: The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
Solution:
Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Removed number = 60 - 40 = 20.
Steps: 6
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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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