The average of seven numbers is 100. If one of the numbers is removed, the average of the remaining six numbers becomes 101. what is the number that is being removed?
Let's denote the sum of the seven numbers as S.
Therefore, we have:
S/7 = 100
S = 7 * 100 = 700
After removing one number, the sum of the remaining six numbers will be S - x, where x is the number being removed.
The new average of the remaining six numbers is:
(S - x)/6 = 101
S - x = 6 * 101
700 - x = 606
x = 700 - 606
x = 94
Therefore, the number being removed is 94.