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The average of five numbers is 20. If one number is excluded, the average of the

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Question: The average of five numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?

Options:

  1. 22
  2. 24
  3. 20
  4. 18

Correct Answer: 22

Solution: 

Total of five numbers = 5 * 20 = 100. Total of remaining four = 4 * 18 = 72. Excluded number = 100 - 72 = 28.

The average of five numbers is 20. If one number is excluded, the average of the

Practice Questions

Q1
The average of five numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?
  1. 22
  2. 24
  3. 20
  4. 18

Questions & Step-by-Step Solutions

The average of five numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?
  • Step 1: Calculate the total of the five numbers using the average. Since the average is 20 and there are 5 numbers, multiply 20 by 5. This gives you 100.
  • Step 2: Calculate the total of the remaining four numbers after excluding one number. The average of these four numbers is 18, so multiply 18 by 4. This gives you 72.
  • Step 3: To find the excluded number, subtract the total of the remaining four numbers (72) from the total of the five numbers (100). So, 100 - 72 equals 28.
  • Step 4: The excluded number is 28.
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