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In 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

In 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

Sure, let's solve this step by step:

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

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

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

Step 4: The total age of the class decreased by 2 years, so the new total age is 12x - 2.

Step 5: The new total age (12x - 2) is equal to the new average age (x - 4) times the new number of members (14). So, we can set up the equation: 12x - 2 = 14(x - 4).

Step 6: Solving this equation gives us x = 27. So, the initial average age was 27 years.

Step 7: The new average age is x - 4 = 27 - 4 = 23 years.

So, the new average age of the class is 23 years.

This problem has been solved

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