The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
Practice Questions
1 question
Q1
The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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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.
Questions & Step-by-step Solutions
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Q
Q: The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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.
Steps: 3
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.
