A list of 17 numbers has an average of 334. When two numbers are deleted from the list, the average of the remaining numbers is 302.
- 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 2?
(a)
Sum of the 17 numbers
= 17 x 334
= 5678
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 302 x 15
= 4530
Sum of the two numbers
= 5678 - 4530
= 1148
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1148
2 u = 1148 - 2
2 u = 1146
1 u = 1146 ÷ 2 = 573
Bigger number
= 1 u + 2
= 573 + 2
= 575
Answer(s): (a) 5678; (b) 575