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The average of 5 numbers is 40. Average of first two and last two is 25 and 45 respectively. Find the middle number.
- a)60
- b)45
- c)30
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average of 5 numbers is 40. Average of first two and last two is 2...
A) 60
Explanation: 5*40 – (2*25 + 2*45)
Explanation: 5*40 – (2*25 + 2*45)
Most Upvoted Answer
The average of 5 numbers is 40. Average of first two and last two is 2...
Given information:
- Average of 5 numbers = 40
- Average of first two numbers = 25
- Average of last two numbers = 45
Approach:
Let's assume the 5 numbers as a, b, c, d, and e. We need to find out the value of the middle number (c).
- Average of 5 numbers = (a+b+c+d+e)/5 = 40
- Sum of 5 numbers = (a+b+c+d+e) = 200
Now, we have two more equations:
- (a+b)/2 = 25 (Average of first two numbers)
- (d+e)/2 = 45 (Average of last two numbers)
We can simplify the above two equations as:
- a + b = 50
- d + e = 90
Let's add the above two equations:
- (a+b) + (d+e) = 140
We know that the sum of 5 numbers is 200, so we can subtract the above equation from it to get the value of the middle number (c):
- a+b+c+d+e - (a+b) - (d+e) = c = 200 - 140 = 60
Therefore, the middle number is 60.
Hence, the correct answer is option 'A'.
- Average of 5 numbers = 40
- Average of first two numbers = 25
- Average of last two numbers = 45
Approach:
Let's assume the 5 numbers as a, b, c, d, and e. We need to find out the value of the middle number (c).
- Average of 5 numbers = (a+b+c+d+e)/5 = 40
- Sum of 5 numbers = (a+b+c+d+e) = 200
Now, we have two more equations:
- (a+b)/2 = 25 (Average of first two numbers)
- (d+e)/2 = 45 (Average of last two numbers)
We can simplify the above two equations as:
- a + b = 50
- d + e = 90
Let's add the above two equations:
- (a+b) + (d+e) = 140
We know that the sum of 5 numbers is 200, so we can subtract the above equation from it to get the value of the middle number (c):
- a+b+c+d+e - (a+b) - (d+e) = c = 200 - 140 = 60
Therefore, the middle number is 60.
Hence, the correct answer is option 'A'.
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