In a group of 8 people, the average age is 30 years. If 2 people aged 40 years e

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Question: In a group of 8 people, the average age is 30 years. If 2 people aged 40 years each leave the group, what is the new average age?

Options:

Correct Answer: 29

Solution:

Total age = 8 * 30 = 240. Age of 2 people leaving = 2 * 40 = 80. New total age = 240 - 80 = 160. New average = 160 / 6 = 26.67, rounded to 27.

In a group of 8 people, the average age is 30 years. If 2 people aged 40 years each leave the group, what is the new average age?

In a group of 8 people, the average age is 30 years. If 2 people aged 40 years each leave the group, what is the new average age?

Step 1: Calculate the total age of the group. Since the average age is 30 years and there are 8 people, multiply 30 by 8. Total age = 30 * 8 = 240 years.
Step 2: Find the total age of the 2 people who are leaving. Each person is 40 years old, so multiply 40 by 2. Age of 2 people leaving = 40 * 2 = 80 years.
Step 3: Subtract the age of the 2 people leaving from the total age of the group. New total age = 240 - 80 = 160 years.
Step 4: Determine how many people are left in the group after 2 leave. 8 - 2 = 6 people remain.
Step 5: Calculate the new average age by dividing the new total age by the number of people left. New average = 160 / 6 = 26.67.
Step 6: Round the new average age to the nearest whole number. The rounded average age is 27.

Average Calculation – Understanding how to calculate the average by dividing the total sum of ages by the number of individuals.
Impact of Removing Individuals – Recognizing how the removal of individuals with specific ages affects the overall average.
Basic Arithmetic Operations – Applying addition, subtraction, and division to solve the problem.