A list of 16 numbers has an average of 337. When two numbers are deleted from the list, the average of the remaining numbers is 304.
- What is the sum of 16 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 6?
(a)
Sum of the 16 numbers
= 16 x 337
= 5392
(b)
Remaining numbers
= 16 - 2
= 14
Sum of the remaining numbers
= 304 x 14
= 4256
Sum of the two numbers
= 5392 - 4256
= 1136
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1136
2 u = 1136 - 6
2 u = 1130
1 u = 1130 ÷ 2 = 565
Bigger number
= 1 u + 6
= 565 + 6
= 571
Answer(s): (a) 5392; (b) 571