A list of 13 numbers has an average of 337. When two numbers are deleted from the list, the average of the remaining numbers is 305.
- What is the sum of 13 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 13 numbers
= 13 x 337
= 4381
(b)
Remaining numbers
= 13 - 2
= 11
Sum of the remaining numbers
= 305 x 11
= 3355
Sum of the two numbers
= 4381 - 3355
= 1026
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1026
2 u = 1026 - 2
2 u = 1024
1 u = 1024 ÷ 2 = 512
Bigger number
= 1 u + 2
= 512 + 2
= 514
Answer(s): (a) 4381; (b) 514