A list of 18 numbers has an average of 348. When two numbers are deleted from the list, the average of the remaining numbers is 308.
- 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 6?
(a)
Sum of the 18 numbers
= 18 x 348
= 6264
(b)
Remaining numbers
= 18 - 2
= 16
Sum of the remaining numbers
= 308 x 16
= 4928
Sum of the two numbers
= 6264 - 4928
= 1336
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1336
2 u = 1336 - 6
2 u = 1330
1 u = 1330 ÷ 2 = 665
Bigger number
= 1 u + 6
= 665 + 6
= 671
Answer(s): (a) 6264; (b) 671