A list of 11 numbers has an average of 331. When two numbers are deleted from the list, the average of the remaining numbers is 300.
- What is the sum of 11 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 3?
(a)
Sum of the 11 numbers
= 11 x 331
= 3641
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 300 x 9
= 2700
Sum of the two numbers
= 3641 - 2700
= 941
Smaller number = 1 u
Bigger number = 1 u + 3
Total = 1 u + 1 u + 3 = 2 u + 3
2 u + 3 = 941
2 u = 941 - 3
2 u = 938
1 u = 938 ÷ 2 = 469
Bigger number
= 1 u + 3
= 469 + 3
= 472
Answer(s): (a) 3641; (b) 472