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

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

Options:

  1. 16
  2. 18
  3. 20
  4. 22

Correct Answer: 20

Solution:

The total of the 8 numbers is 8 * 12 = 96. The total of the remaining 7 numbers is 7 * 10 = 70. Therefore, the removed number is 96 - 70 = 26.

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.
  • Average Calculation – Understanding how to calculate the average and how it changes when a number is removed.
  • Total Sum of Numbers – Calculating the total sum of a set of numbers based on their average.
  • Difference Calculation – Finding the difference between the total sums to determine the removed number.
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