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 320.
- 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 1?
(a)
Sum of the 11 numbers
= 11 x 335
= 3685
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 320 x 9
= 2880
Sum of the two numbers
= 3685 - 2880
= 805
Smaller number = 1 u
Bigger number = 1 u + 1
Total = 1 u + 1 u + 1 = 2 u + 1
2 u + 1 = 805
2 u = 805 - 1
2 u = 804
1 u = 804 ÷ 2 = 402
Bigger number
= 1 u + 1
= 402 + 1
= 403
Answer(s): (a) 3685; (b) 403