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 The average of 10 reading is 25.5. In this the average of first three is 20 and the next four is 26. If the eight reading is 5 less than the night one and also 8 less than the tenth one, then find the eight reading?
  • a)
    22
  • b)
    24
  • c)
    26
  • d)
    28
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average of 10 reading is 25.5. In this the average of first three ...
Answer – 3.26 Explanation : sum of all ten reading = 255 sum of first three = 60 and sum of next 4 = 104.
Sum of 8th , 9th and 10th reading = 91 = 3*x + 13 X = 26
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Most Upvoted Answer
The average of 10 reading is 25.5. In this the average of first three ...
Answer – 3.26 Explanation : sum of all ten reading = 255 sum of first three = 60 and sum of next 4 = 104.
Sum of 8th , 9th and 10th reading = 91 = 3*x + 13 X = 26
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Community Answer
The average of 10 reading is 25.5. In this the average of first three ...
Given:
Average of 10 readings = 25.5
Average of first three readings = 20
Average of next four readings = 26
8th reading = 9th reading - 5
8th reading = 10th reading - 8

To find:
The 8th reading

Solution:
We know that the average of 10 readings is 25.5, so the sum of the 10 readings is:
10 x 25.5 = 255

We also know that the average of the first three readings is 20, so their sum is:
3 x 20 = 60

Similarly, the sum of the next four readings is:
4 x 26 = 104

So, the sum of the last three readings is:
255 - 60 - 104 = 91

Let's assume the 10th reading as x, then the 9th reading will be x + 8, and the 8th reading will be x + 3.

Therefore, we can write the equation as:
(x + 3) + (x + 4) + (x + 5) + (x + 8) + (x + 9) + (x + 10) + (x + 11) + (x + 12) + (x + 13) + x = 255

Simplifying the above equation, we get:
10x + 75 = 255
10x = 180
x = 18

So, the 8th reading will be x + 3 = 18 + 3 = 21.

Therefore, the answer is option (e) None of these as none of the given options match the calculated value of the 8th reading.
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