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The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?
  • a)
    25
  • b)
    27
  • c)
    30
  • d)
    35
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average of five numbers is 27. If one number is excluded, the aver...
GIVEN:
The average of five numbers is 27
New average after excluding one number = 25
FORMULA USED:
Average of numbers = Sum of numbers/ Total numbers
CALCULATION:
Average of first 4 numbers is 25
Sum of four numbers = 25 × 4 = 100
Let the fifth number be x
Average of five numbers = (Sum of four numbers + Fifth number)/5
Fifth number = 27 × 5 - 100 = 135 - 100 = 35
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Most Upvoted Answer
The average of five numbers is 27. If one number is excluded, the aver...
GIVEN:
The average of five numbers is 27
New average after excluding one number = 25
FORMULA USED:
Average of numbers = Sum of numbers/ Total numbers
CALCULATION:
Average of first 4 numbers is 25
Sum of four numbers = 25 × 4 = 100
Let the fifth number be x
Average of five numbers = (Sum of four numbers + Fifth number)/5
Fifth number = 27 × 5 - 100 = 135 - 100 = 35
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Community Answer
The average of five numbers is 27. If one number is excluded, the aver...
To solve this problem, we can use the concept of averages and algebraic equations. Let's break it down step by step:

Given information:
- The average of five numbers is 27.
- If one number is excluded, the average becomes 25.

Let's represent the five numbers as a, b, c, d, and e.

Step 1: Find the sum of the five numbers
Since the average of five numbers is 27, we can write the equation:
(a + b + c + d + e) / 5 = 27

Step 2: Find the sum of the four numbers
If one number is excluded, the average becomes 25. This means we need to find the sum of the remaining four numbers. Let's exclude the number a for now.
(b + c + d + e) / 4 = 25

Step 3: Find the value of a
To find the value of a, we need to compare the two equations we obtained in Step 1 and Step 2. We can solve this by using algebraic manipulation.

From the equation in Step 1:
(a + b + c + d + e) / 5 = 27
(a + b + c + d + e) = 135

From the equation in Step 2:
(b + c + d + e) / 4 = 25
(b + c + d + e) = 100

Subtracting the equation in Step 2 from the equation in Step 1, we get:
(a + b + c + d + e) - (b + c + d + e) = 135 - 100
a = 35

Step 4: Determine the excluded number
The question asks for the excluded number, which means we need to find the value of the number that was excluded. In this case, the excluded number is a, which we found to be 35.

Therefore, the excluded number is 35. Option (D) is the correct answer.
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The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?a)25b)27c)30d)35Correct answer is option 'D'. Can you explain this answer?
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The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?a)25b)27c)30d)35Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?a)25b)27c)30d)35Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of five numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?a)25b)27c)30d)35Correct answer is option 'D'. Can you explain this answer?.
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