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 300.
- 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 1?
(a)
Sum of the 17 numbers
= 17 x 341
= 5797
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 300 x 15
= 4500
Sum of the two numbers
= 5797 - 4500
= 1297
Smaller number = 1 u
Bigger number = 1 u + 1
Total = 1 u + 1 u + 1 = 2 u + 1
2 u + 1 = 1297
2 u = 1297 - 1
2 u = 1296
1 u = 1296 ÷ 2 = 648
Bigger number
= 1 u + 1
= 648 + 1
= 649
Answer(s): (a) 5797; (b) 649