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?
42
43
44
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.
