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Average age of 12 persons in a group is 25 years. On including 3 more persons in the group, the average age is decreased by 1 year. Find the average age of the three now members.A19 yearsB20 yearsC23 yearsD24 years

Question

Average age of 12 persons in a group is 25 years. On including 3 more persons in the group, the average age is decreased by 1 year. Find the average age of the three now members.A19 yearsB20 yearsC23 yearsD24 years

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Solution

Sure, let's solve this step by step:

Step 1: The total age of the 12 persons is 12 * 25 = 300 years.

Step 2: When 3 more persons are added, the average age decreases by 1 year to 24 years. So, the total age of the 15 persons is 15 * 24 = 360 years.

Step 3: The total age of the 3 new members is the total age of the 15 persons minus the total age of the 12 persons. So, 360 - 300 = 60 years.

Step 4: The average age of the 3 new members is the total age of the 3 new members divided by 3. So, 60 / 3 = 20 years.

So, the average age of the three new members is 20 years. Therefore, the answer is B) 20 years.

This problem has been solved

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