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Select the correct answerIn a Yoga Class there were 12 members. Two members left the class and 4 new members joined. If the average age decreased by 4 years and the total age decreased by 2. What is the new average age of the class? (in years)Options2325342719

Question

Select the correct answerIn a Yoga Class there were 12 members. Two members left the class and 4 new members joined. If the average age decreased by 4 years and the total age decreased by 2. What is the new average age of the class? (in years)Options2325342719

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Solution

To solve this problem, we need to understand that the average age is the total age divided by the number of people.

Step 1: Initially, there were 12 members in the class. Let's assume the average age of these 12 members was X years. So, the total age of the class was 12X.

Step 2: Two members left and four new members joined. So, the new total number of members is 12 - 2 + 4 = 14.

Step 3: The average age decreased by 4 years, so the new average age is X - 4.

Step 4: The total age decreased by 2, so the new total age is 12X - 2.

Step 5: We know that the total age is the average age times the number of people. So, we can set up the equation (X - 4) * 14 = 12X - 2.

Step 6: Solve this equation for X.

14X - 56 = 12X - 2 14X - 12X = 56 + 2 2X = 58 X = 29

So, the initial average age was 29 years. The new average age, which is 4 years less, is 29 - 4 = 25 years.

So, the correct answer is 25.

This problem has been solved

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