The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women? Choose the correct option:
A) 36 years B) 30 years C) 40 years D) 42 years E) None of these
Let the average age of 8 men be X years   Thus, Sum of the ages of 8 men = 8X years   Now, according to the condition of the question, average age of (6 men + 2 women) = (x + 2) years   Thus, Sum of the ages of (6 men + 2 women)   = 8(X + 2) = 8X x 16 years   Hence, it is clear that on replacing two men by two women, sum of their ages increased by 16 years.   Therefore, sum of the ages of two women   = (20 + 24) + 16= 
<gadget id="calculator">(20 + 24) + 16</gadget>
<output>60</output>
60 years   Thus, average age of the women= 60/2= 
<gadget id="calculator">60/2</gadget>
<output>30</output>
30 years   ANSWER:30 years
<result>B</result>
The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women?