The average of six numbers is 36. If one number is excluded, the average becomes 37. What is the excluded number?
- A37
- B36
- C35.5
- D31
Solution & Step-by-step Explanation
Sum of 6 numbers = 6×36=216
When 1 number is excluded, remaining numbers = 5
New average = 37
Sum of remaining 5 numbers = 5×37=185
Excluded number=Sum of 6 numbers−Sum of 5 numbers
Excluded number=216−185=31
When 1 number is excluded, remaining numbers = 5
New average = 37
Sum of remaining 5 numbers = 5×37=185
Excluded number=Sum of 6 numbers−Sum of 5 numbers
Excluded number=216−185=31