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The arithmetic mean of 9 numbers is 100 and the average of three of them is 40. What is the average of other six numbers?
  • a)
    120
  • b)
    160
  • c)
    136
  • d)
    130
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The arithmetic mean of 9 numbers is 100 and the average of three of th...

⇒ Sum = Average × Number of terms
Let the sum of other six numbers be x, then as per question
Sum of 9 numbers = Sum of 3 numbers + sum of other 6 numbers
⇒ 100 × 9 = 40 × 3 + x
⇒ x = 900 – 120 = 780
∴ Average of other six numbers = 780/6 = 130
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The arithmetic mean of 9 numbers is 100 and the average of three of them is 40. What is the average of other six numbers?a)120b)160c)136d)130Correct answer is option 'D'. Can you explain this answer?
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