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The average of three numbers is 40. If the first number is increased by 10, what

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Question: The average of three numbers is 40. If the first number is increased by 10, what will be the new average?

Options:

  1. 42
  2. 43
  3. 44
  4. 45

Correct Answer: 42

Solution: 

The sum of the three numbers is 3 * 40 = 120. Increasing the first number by 10 gives a new sum of 120 + 10 = 130. The new average is 130 / 3 = 43.33, which rounds to 42.

The average of three numbers is 40. If the first number is increased by 10, what

Practice Questions

Q1
The average of three numbers is 40. If the first number is increased by 10, what will be the new average?
  1. 42
  2. 43
  3. 44
  4. 45

Questions & Step-by-Step Solutions

The average of three numbers is 40. If the first number is increased by 10, what will be the new average?
  • Step 1: Understand that the average of three numbers is given as 40.
  • Step 2: Calculate the total sum of the three numbers using the formula: Average = Total Sum / Number of Items. Here, Total Sum = Average * Number of Items.
  • Step 3: Substitute the values: Total Sum = 40 * 3 = 120.
  • Step 4: Note that we are increasing the first number by 10.
  • Step 5: Calculate the new total sum by adding 10 to the previous total sum: New Total Sum = 120 + 10 = 130.
  • Step 6: Find the new average using the formula: New Average = New Total Sum / Number of Items.
  • Step 7: Substitute the values: New Average = 130 / 3.
  • Step 8: Calculate the new average: 130 divided by 3 equals approximately 43.33.
  • Step 9: Round the new average to the nearest whole number, which is 43.
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how changes to one number affect the overall average.
  • Sum of Numbers – Knowing that the average is derived from the sum of numbers divided by the count of numbers.
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