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If the average of 5 numbers is 15, what is the average of the first three number

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Question: If the average of 5 numbers is 15, what is the average of the first three numbers if the last two numbers are 10 and 20?

Options:

  1. 10
  2. 15
  3. 20
  4. 25

Correct Answer: 20

Solution:

Total of 5 numbers = 5 * 15 = 75. Total of last two numbers = 10 + 20 = 30. Total of first three numbers = 75 - 30 = 45. Average of first three = 45 / 3 = 15.

If the average of 5 numbers is 15, what is the average of the first three number

Practice Questions

Q1
If the average of 5 numbers is 15, what is the average of the first three numbers if the last two numbers are 10 and 20?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If the average of 5 numbers is 15, what is the average of the first three numbers if the last two numbers are 10 and 20?
  • Step 1: Calculate the total of the 5 numbers using the average. Since the average is 15 and there are 5 numbers, multiply 15 by 5. Total = 15 * 5 = 75.
  • Step 2: Find the total of the last two numbers. The last two numbers are 10 and 20, so add them together. Total of last two numbers = 10 + 20 = 30.
  • Step 3: Calculate the total of the first three numbers. Subtract the total of the last two numbers from the total of all five numbers. Total of first three numbers = 75 - 30 = 45.
  • Step 4: Find the average of the first three numbers. Divide the total of the first three numbers by 3. Average = 45 / 3 = 15.
  • Average Calculation – Understanding how to calculate the average of a set of numbers by dividing the total sum by the count of numbers.
  • Total Sum Derivation – Ability to derive the total sum of a subset of numbers from the overall average and known values.
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