A list of 14 numbers has an average of 334. When two numbers are deleted from the list, the average of the remaining numbers is 323.
- What is the sum of 14 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 14 numbers
= 14 x 334
= 4676
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 323 x 12
= 3876
Sum of the two numbers
= 4676 - 3876
= 800
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 800
2 u = 800 - 2
2 u = 798
1 u = 798 ÷ 2 = 399
Bigger number
= 1 u + 2
= 399 + 2
= 401
Answer(s): (a) 4676; (b) 401