The average of five numbers is 40. If one number is removed, then the average becomes 36. What is the removed number?
Given:
Average of 5 numbers = 40
Average of the remaining 4 numbers = 36
Formula Used:
Total Sum = Average × Number of items
Solution:
First, calculate the sum of the initial 5 numbers:
Sum of 5 numbers = 5 × 40 = 200
Next, calculate the sum of the remaining 4 numbers:
Sum of 4 numbers = 4 × 36 = 144
The removed number is the difference between these two sums:
Removed number = 200 - 144
Removed number = 56
Final Answer
So the correct answer is (a)
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