A list of 11 numbers has an average of 336. 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 2?
(a)
Sum of the 11 numbers
= 11 x 336
= 3696
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 300 x 9
= 2700
Sum of the two numbers
= 3696 - 2700
= 996
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 996
2 u = 996 - 2
2 u = 994
1 u = 994 ÷ 2 = 497
Bigger number
= 1 u + 2
= 497 + 2
= 499
Answer(s): (a) 3696; (b) 499