A list of 17 numbers has an average of 341. When two numbers are deleted from the list, the average of the remaining numbers is 317.
- What is the sum of 17 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 4?
(a)
Sum of the 17 numbers
= 17 x 341
= 5797
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 317 x 15
= 4755
Sum of the two numbers
= 5797 - 4755
= 1042
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 1042
2 u = 1042 - 4
2 u = 1038
1 u = 1038 ÷ 2 = 519
Bigger number
= 1 u + 4
= 519 + 4
= 523
Answer(s): (a) 5797; (b) 523