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The average of 100 numbers is 210. The average of these 100 numbers and 20 other new numbers is 200. What is the average of 20 new numbers?

  • a)
    110

  • b)
    120

  • c)
    130

  • d)
    150

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average of 100 numbers is 210. The average of these 100 numbers an...

Hence, Option D is correct.
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Most Upvoted Answer
The average of 100 numbers is 210. The average of these 100 numbers an...
Given Information:
- Average of 100 numbers = 210
- Average of 100 numbers and 20 new numbers = 200

Calculation:

Step 1: Finding the sum of the original 100 numbers
- Sum of 100 numbers = Average of 100 numbers * Number of numbers
- Sum of 100 numbers = 210 * 100 = 21000

Step 2: Finding the sum of 100 numbers and 20 new numbers
- Since the average of 100 numbers and 20 new numbers is 200, the total sum of these 120 numbers = Average * Total numbers
- Sum of 120 numbers = 200 * 120 = 24000

Step 3: Finding the sum of 20 new numbers
- Sum of 20 new numbers = Sum of 120 numbers - Sum of 100 numbers
- Sum of 20 new numbers = 24000 - 21000 = 3000

Step 4: Finding the average of 20 new numbers
- Average of 20 new numbers = Sum of 20 new numbers / Number of new numbers
- Average of 20 new numbers = 3000 / 20 = 150
Therefore, the average of the 20 new numbers is 150.
So, the correct answer is option 'D) 150'.
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The average of 100 numbers is 210. The average of these 100 numbers and 20 other new numbers is 200. What is the average of 20 new numbers?a)110b)120c)130d)150Correct answer is option 'D'. Can you explain this answer?
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