A list of 11 numbers has an average of 335. 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 335
= 3685
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 300 x 9
= 2700
Sum of the two numbers
= 3685 - 2700
= 985
Smaller number = 1 u
Bigger number = 1 u + 3
Total = 1 u + 1 u + 3 = 2 u + 3
2 u + 3 = 985
2 u = 985 - 3
2 u = 982
1 u = 982 ÷ 2 = 491
Bigger number
= 1 u + 3
= 491 + 3
= 494
Answer(s): (a) 3685; (b) 494