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The average of nine numbers is 60, that of the first five numbers is 55 and the next three is 65. The ninth number is 10 less than the tenth number. Then, tenth number is –
  • a)
    80
  • b)
    70
  • c)
    75
  • d)
    85
  • e)
    72
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average of nine numbers is 60, that of the first five numbers is 5...
The sum of nine numbers = 60 × 9 = 540
The sum of the first five numbers = 55 × 5 = 275
The sum of the next three numbers = 65 × 3 = 195
Ninth number = (540 – 275 – 195) = (540 – 470) = 70
∴ Tenth number = 70 + 10 = 80
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Most Upvoted Answer
The average of nine numbers is 60, that of the first five numbers is 5...
The sum of nine numbers = 60 × 9 = 540
The sum of the first five numbers = 55 × 5 = 275
The sum of the next three numbers = 65 × 3 = 195
Ninth number = (540 – 275 – 195) = (540 – 470) = 70
∴ Tenth number = 70 + 10 = 80
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Community Answer
The average of nine numbers is 60, that of the first five numbers is 5...
Let's assume the tenth number is x.
The ninth number is 10 less than the tenth number, so it is x - 10.
The average of the first five numbers is 55, so their total sum is 55*5 = 275.
The average of the next three numbers is 65, so their total sum is 65*3 = 195.
The first five numbers and the next three numbers have a total sum of 275 + 195 = 470.
The average of the nine numbers is 60, so their total sum is 60*9 = 540.
The ninth number is x - 10, so the total sum of the first nine numbers is (x - 10) + 470 = 540.
(x - 10) + 470 = 540
x - 10 + 470 = 540
x + 460 = 540
x = 540 - 460
x = 80

Therefore, the tenth number is 80.
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