A list of 14 numbers has an average of 336. When two numbers are deleted from the list, the average of the remaining numbers is 305.
- 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 336
= 4704
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 305 x 12
= 3660
Sum of the two numbers
= 4704 - 3660
= 1044
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1044
2 u = 1044 - 2
2 u = 1042
1 u = 1042 ÷ 2 = 521
Bigger number
= 1 u + 2
= 521 + 2
= 523
Answer(s): (a) 4704; (b) 523