If the average of two numbers is 30 and one of the numbers is 20, what is the ot

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Question: If the average of two numbers is 30 and one of the numbers is 20, what is the other number?

Options:

Correct Answer: 40

Solution:

Let the two numbers be a and b. (a + b) / 2 = 30. If a = 20, then 20 + b = 60, hence b = 40.

If the average of two numbers is 30 and one of the numbers is 20, what is the other number?

If the average of two numbers is 30 and one of the numbers is 20, what is the other number?

Step 1: Understand that the average of two numbers is found by adding them together and dividing by 2.
Step 2: Write the formula for the average: (a + b) / 2 = 30.
Step 3: Multiply both sides of the equation by 2 to eliminate the division: a + b = 60.
Step 4: We know one of the numbers (a) is 20, so substitute 20 for a in the equation: 20 + b = 60.
Step 5: To find b, subtract 20 from both sides of the equation: b = 60 - 20.
Step 6: Calculate the result: b = 40.

Average Calculation – Understanding how to calculate the average of two numbers and manipulate equations to find unknown values.