Question
The average of 7 numbers is 165. The average remains
unchanged after removing one of them. Find out the number drawn.Solution
Let's assume that the sum of the 7 numbers is S. According to the given information, the average of these 7 numbers is 165. So, we have: S/7 = 165 Multiplying both sides by 7, we get = 1155 Now, let's assume that x is the number that is removed from the 7 numbers. After removing x, we have 6 numbers whose average is still 165. So, the sum of the remaining 6 numbers is: (6 x 165) = 990 But we know that the sum of the original 7 numbers was 1155. So: 1155-x = 990 Solving for x, we get x = 165 Therefore, the number that was removed from the 7 numbers is 165.
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