Q. The average of six numbers is 20. If one number is removed, the average becomes 15. What is the number removed ?
✅ Correct Answer: (D)
45
Explanation: Given that ,The average of six numbers = 20
⇒ sum of six numbers = 6 × 20 = 120
The average of 5 numbers = 15
⇒ sum of six numbers = 5 × 5 = 75
∴ Required number = sum of six numbers – sum of five numbers
Required number = 120 – 75 = 45
⇒ sum of six numbers = 6 × 20 = 120
The average of 5 numbers = 15
⇒ sum of six numbers = 5 × 5 = 75
∴ Required number = sum of six numbers – sum of five numbers
Required number = 120 – 75 = 45
Explanation by: Vaibhav Shukla
Given that ,The average of six numbers = 20
⇒ sum of six numbers = 6 × 20 = 120
The average of 5 numbers = 15
⇒ sum of six numbers = 5 × 5 = 75
∴ Required number = sum of six numbers – sum of five numbers
Required number = 120 – 75 = 45
⇒ sum of six numbers = 6 × 20 = 120
The average of 5 numbers = 15
⇒ sum of six numbers = 5 × 5 = 75
∴ Required number = sum of six numbers – sum of five numbers
Required number = 120 – 75 = 45