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If the average of 6 numbers is 30, what is the average of the first 3 numbers if

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Question: If the average of 6 numbers is 30, what is the average of the first 3 numbers if their sum is 90?

Options:

  1. 25
  2. 30
  3. 35
  4. 40

Correct Answer: 30

Solution: 

Total of 6 numbers = 6 * 30 = 180. Sum of last 3 numbers = 180 - 90 = 90. Average of first 3 = 90 / 3 = 30.

If the average of 6 numbers is 30, what is the average of the first 3 numbers if

Practice Questions

Q1
If the average of 6 numbers is 30, what is the average of the first 3 numbers if their sum is 90?
  1. 25
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

If the average of 6 numbers is 30, what is the average of the first 3 numbers if their sum is 90?
  • Step 1: Calculate the total sum of the 6 numbers using the average. Since the average is 30, multiply 30 by 6. This gives you 180.
  • Step 2: You know the sum of the first 3 numbers is 90. To find the sum of the last 3 numbers, subtract the sum of the first 3 from the total sum. So, 180 - 90 equals 90.
  • Step 3: Now, to find the average of the first 3 numbers, divide their sum (90) by 3. So, 90 divided by 3 equals 30.
  • Average Calculation – Understanding how to calculate the average from a given sum and the number of items.
  • Sum of Numbers – Using the relationship between the average and the total sum of numbers to derive other values.
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