Question
The average of 5 numbers is 28. When one number is removed, the average of the remaining 4 numbers becomes 26. Find the number that was removed.
Solution
Sum of 5 numbers = 5 × 28 = 140 Let the removed number be x. Sum of remaining 4 numbers = 4 × 26 = 104 So 140 − x = 104 x = 140 − 104 = 36 Answer: The removed number is 36.
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