Question
The average of 10 numbers is 30. What will be the new
average if one of the numbers is increased by 30 and five of the rest decreased by 4 each?Solution
ATQ, Let's denote the sum of the original 10 numbers as 'S', and the average as 'A'. Original average:-Â A = 30 Original Sum =Â S = A Ă— Number of terms = 30 Ă— 10 = 300 Now, let's consider the change in the numbers: 1) One number is increased by 30. 2) Five numbers are decreased by 4 each. 
Therefore, new average is 31.
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