A list of 18 numbers has an average of 337. When two numbers are deleted from the list, the average of the remaining numbers is 310.
- What is the sum of 18 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 18 numbers
= 18 x 337
= 6066
(b)
Remaining numbers
= 18 - 2
= 16
Sum of the remaining numbers
= 310 x 16
= 4960
Sum of the two numbers
= 6066 - 4960
= 1106
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1106
2 u = 1106 - 2
2 u = 1104
1 u = 1104 ÷ 2 = 552
Bigger number
= 1 u + 2
= 552 + 2
= 554
Answer(s): (a) 6066; (b) 554