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The question for the day is a Math question from the topic Arithmetic Mean.

The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?

1. 22 years
2. 30 years
3. 44 years
4. 32 years
5. None of these

The correct choice is (D) and the correct answer is 32 years.

The average age of a group of 10 students is 20.

Therefore, the sum of the ages of all 10 of them = 10 * 20 = 200

When two new students join the group, the average age increases by 2. New average = 22

Now, there are 12 students.

Therefore, the sum of the ages of all 12 of them = 12 * 22 = 264

Therefore, the sum of the ages of the two new students who joined = 264 - 200 = 64

And the average age of each of the two new students = 64/2 = 32 years.