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?  Choices:  A) 22 years  B) 30 years  C) 44 years  D) 32 years  E) None of these
Answer   The average age of a group of 10 students is 20.   Therefore, the sum of the ages of all 10 of them = 10 * 20= 
<gadget id="calculator">10 * 20</gadget>
<output>200</output>
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= 
<gadget id="calculator">12 * 22</gadget>
<output>264</output>
264   Therefore, the sum of the ages of the two new students who joined= 264 - 200= 
<gadget id="calculator">264 - 200</gadget>
<output>64</output>
64   And the average age of each of the two new students= 64/2= 
<gadget id="calculator">64/2</gadget>
<output>32</output>
32 years.   Answer 32 years
<result>D</result>
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?