The average age of 12 men in a group is increased by 2 years when two men whose ages are 20 years 22 years, are replaced by new members. What is the average age of the new men included?A32 yearsB33 yearsC35 yearsD66 years

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

Step 1: Calculate the total age of the 12 men before the replacement. The average age increased by 2 years when two men were replaced, so the original average age was 2 years less. Let's denote the increased average age as 'A'. So, the original average age is A-2. The total age is therefore (A-2) * 12.

Step 2: Calculate the total age of the 12 men after the replacement. After the replacement, the average age is A, so the total age is A * 12.

Step 3: The increase in total age due to the replacement is the total age after the replacement minus the total age before the replacement, which is A * 12 - (A-2) * 12 = 24.

Step 4: The increase in total age is also equal to the total age of the new men minus the total age of the men they replaced, which is 20 + 22 = 42. So, the total age of the new men is the increase in total age plus the total age of the men they replaced, which is 24 + 42 = 66.

Step 5: Since there are two new men, the average age of the new men is the total age of the new men divided by 2, which is 66 / 2 = 33.

So, the average age of the new men included is 33 years. The answer is B) 33 years.