The average of 10, 20, 30, and x is 25. What is the value of x?

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Question: The average of 10, 20, 30, and x is 25. What is the value of x?

Options:

Correct Answer: 40

Solution:

Mean = (10 + 20 + 30 + x) / 4 = 25. Solving gives x = 50.

The average of 10, 20, 30, and x is 25. What is the value of x?

The average of 10, 20, 30, and x is 25. What is the value of x?

Step 1: Write down the numbers we have: 10, 20, 30, and x.
Step 2: Understand that the average (mean) of these numbers is given as 25.
Step 3: The formula for average is: (sum of all numbers) / (number of numbers).
Step 4: In this case, we have 4 numbers: 10, 20, 30, and x.
Step 5: So, we can write the equation: (10 + 20 + 30 + x) / 4 = 25.
Step 6: Calculate the sum of the known numbers: 10 + 20 + 30 = 60.
Step 7: Now, substitute this sum into the equation: (60 + x) / 4 = 25.
Step 8: To eliminate the fraction, multiply both sides of the equation by 4: 60 + x = 100.
Step 9: Now, solve for x by subtracting 60 from both sides: x = 100 - 60.
Step 10: Therefore, x = 40.

Average Calculation – Understanding how to calculate the average (mean) of a set of numbers.
Algebraic Manipulation – Solving for an unknown variable in an equation.