The average of five numbers is 18. If one number is removed, the average becomes

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Question: The average of five numbers is 18. If one number is removed, the average becomes 16. What was the removed number?

Options:

Correct Answer: 24

Solution:

Total of five numbers = 5 * 18 = 90. Total of four numbers = 4 * 16 = 64. Removed number = 90 - 64 = 26.

The average of five numbers is 18. If one number is removed, the average becomes 16. What was the removed number?

The average of five numbers is 18. If one number is removed, the average becomes 16. What was the removed number?

Correct Answer: 26

Step 1: Calculate the total of the five numbers using the average. Since the average is 18 and there are 5 numbers, multiply 18 by 5. This gives you 90.
Step 2: Calculate the total of the four numbers after one number is removed. The new average is 16 and there are now 4 numbers, so multiply 16 by 4. This gives you 64.
Step 3: Find the removed number by subtracting the total of the four numbers from the total of the five numbers. So, subtract 64 from 90. This gives you 26.

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