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The average of four consecutive even numbers is 27. The largest of these numbers is:
- a)36
- b)32
- c)30
- d)28
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The average of four consecutive even numbers is 27. The largest of the...
27
/. \
24- 26- 28 -(30)
hence 30 is a right answer
/. \
24- 26- 28 -(30)
hence 30 is a right answer
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The average of four consecutive even numbers is 27. The largest of the...
Understanding the Problem
To find the largest of four consecutive even numbers whose average is 27, we first need to set up the problem correctly.
Defining the Numbers
Let the four consecutive even numbers be:
- x (first even number)
- x + 2 (second even number)
- x + 4 (third even number)
- x + 6 (largest even number)
Calculating the Average
The average of these four numbers can be calculated as follows:
- Average = (x + (x + 2) + (x + 4) + (x + 6)) / 4
Combining like terms:
- Average = (4x + 12) / 4
- Simplifying gives us: Average = x + 3
Since we know the average is 27:
- x + 3 = 27
Solving for x
Now, we solve for x:
- x = 27 - 3
- x = 24
Finding the Largest Number
Now that we have the value of x, we can find the largest number:
- Largest number = x + 6
- Largest number = 24 + 6
- Largest number = 30
Conclusion
Thus, the largest of the four consecutive even numbers is 30, corresponding to option 'C'.
To find the largest of four consecutive even numbers whose average is 27, we first need to set up the problem correctly.
Defining the Numbers
Let the four consecutive even numbers be:
- x (first even number)
- x + 2 (second even number)
- x + 4 (third even number)
- x + 6 (largest even number)
Calculating the Average
The average of these four numbers can be calculated as follows:
- Average = (x + (x + 2) + (x + 4) + (x + 6)) / 4
Combining like terms:
- Average = (4x + 12) / 4
- Simplifying gives us: Average = x + 3
Since we know the average is 27:
- x + 3 = 27
Solving for x
Now, we solve for x:
- x = 27 - 3
- x = 24
Finding the Largest Number
Now that we have the value of x, we can find the largest number:
- Largest number = x + 6
- Largest number = 24 + 6
- Largest number = 30
Conclusion
Thus, the largest of the four consecutive even numbers is 30, corresponding to option 'C'.
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The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?
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The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?.
The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of four consecutive even numbers is 27. The largest of these numbers is:a)36b)32c)30d)28Correct answer is option 'C'. Can you explain this answer?.
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