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The average of 15 numbers is 75. Later, it is found that two numbers have been wrongly added. The first number is 21 greater than the actual number and the second number added to the sum is 15 instead of 51. Find the correct average.
  • a)
    76
  • b)
    74
  • c)
    75
  • d)
    80
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average of 15 numbers is 75. Later, it is found that two numbers h...
Given that,
The average of 15 numbers = 75
The two numbers have been wrongly added. The first is 21 greater than the actual number and the second number added is 15 instead of 51.
According to the question,
Sum of the 15 numbers
⇒ 15 × 75 = 1125
Here, the first is 21 greater than the actual number and the second number added is 15 instead of 51.
⇒ 1125 - 21 + (51 - 15) = 1140
The actual and new average = 1140/15 = 76
∴ The correct average is 76.
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The average of 15 numbers is 75. Later, it is found that two numbers have been wrongly added. The first number is 21 greater than the actual number and the second number added to the sum is 15 instead of 51. Find the correct average.a)76b)74c)75d)80Correct answer is option 'A'. Can you explain this answer?
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