A list of 13 numbers has an average of 335. When two numbers are deleted from the list, the average of the remaining numbers is 300.
- 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 1?
(a)
Sum of the 13 numbers
= 13 x 335
= 4355
(b)
Remaining numbers
= 13 - 2
= 11
Sum of the remaining numbers
= 300 x 11
= 3300
Sum of the two numbers
= 4355 - 3300
= 1055
Smaller number = 1 u
Bigger number = 1 u + 1
Total = 1 u + 1 u + 1 = 2 u + 1
2 u + 1 = 1055
2 u = 1055 - 1
2 u = 1054
1 u = 1054 ÷ 2 = 527
Bigger number
= 1 u + 1
= 527 + 1
= 528
Answer(s): (a) 4355; (b) 528