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17 Apr 2012, 22:41
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C
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The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 22 years. What is the age of the new member ?
A. 20 years
B. 21 years
C. 22 years
D. 23 years
E. 24 years
A. 20 years
B. 21 years
C. 22 years
D. 23 years
E. 24 years
17 Apr 2012, 23:47
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GyanOne
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 22 years. What is the age of the new member ?
A. 20 years
B. 21 years
C. 22 years
D. 23 years
E. 24 years
The average age of a group of 5 members is 20 years --> the sum of the ages is 5*20=100;
Two years later the sum of the ages of these 5 members would be 100+5*2=110;
Now, say the age of the new member is x years, so the sum of the ages of a new 6 member group is 110+x. Since given that the average age of this group of 6 members is 22 years then: 22*6=110+x --> x=22.
Answer: C.
General Discussion
The average age of the 5 members is 20 years
=> The sum of the ages of the 5 members is 20*5 = 100 years
Once the new member joins, the average age becomes 22 years.
Let the age of the new member be x.
Then (110+x)/6 = 22
=> x = 22 years
@Bunuel: Thx!
=> The sum of the ages of the 5 members is 20*5 = 100 years
Once the new member joins, the average age becomes 22 years.
Let the age of the new member be x.
Then (110+x)/6 = 22
=> x = 22 years
@Bunuel: Thx!
