The average of 8 numbers is 12. If one number is removed, the average becomes 10

Practice Questions

Q1
The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
  1. 16
  2. 18
  3. 20
  4. 22

Questions & Step-by-Step Solutions

The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
Correct Answer: 26
  • Step 1: Calculate the total of the 8 numbers. Since the average is 12 and there are 8 numbers, multiply 12 by 8. This gives you 96.
  • Step 2: Calculate the total of the remaining 7 numbers after one number is removed. The new average is 10, so multiply 10 by 7. This gives you 70.
  • Step 3: Find the removed number by subtracting the total of the remaining 7 numbers from the total of the 8 numbers. So, 96 - 70 equals 26.
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