A list of 11 numbers has an average of 343. When two numbers are deleted from the list, the average of the remaining numbers is 312.
- 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 343
= 3773
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 312 x 9
= 2808
Sum of the two numbers
= 3773 - 2808
= 965
Smaller number = 1 u
Bigger number = 1 u + 3
Total = 1 u + 1 u + 3 = 2 u + 3
2 u + 3 = 965
2 u = 965 - 3
2 u = 962
1 u = 962 ÷ 2 = 481
Bigger number
= 1 u + 3
= 481 + 3
= 484
Answer(s): (a) 3773; (b) 484