Latest CAT Aptitude Question SOLUTION: The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, then what was the average age of the family at the birth of the youngest member?

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The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, then what was the average age of the family at the birth of the youngest member?

Asked In CAT Devendra Marghade (12 years ago)

Solved Aman Read Solution (5)

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Read Solution (5) :

Aman  (12 years ago)

18 yrs

The average age of a family of 6 members is 22 years.
Total age now = 22*6=132 years

If the age of the youngest member be 7 years,
Total age of 5 members 7 years ago = 132 -6*7 = 132-42 = 90 years
then the average age of the family of 5 members just before the birth of the youngest member = 90/5 = 18 yrs
the average age of the family of 6 members just after the birth of the youngest member = 90/6 = 15 years

Is this solution Helpfull? Yes (14) | No (4)  

Vignesh  (12 years ago)

18 is the average age of the family just before the birth of the youngest member.


Total Sum of the ages of family = 132 years now. (i.e., 6*22= 132yrs)

At the birth of the youngest member means 7 years earlier,

At that time the sum of the ages is 132-(7*6) years. (because of the presence of 6 members)

So the sum of the ages =90 and
Average is 90/5 = 18(because one of the members is not there)

Is this solution Helpfull? Yes (5) | No   

Arif Bader  (12 years ago)

Sum of the ages of 6 members=22*6=132
At the time of birth of the youngest memberi.e 7 years ago,sum of the ages=132-7=125=sum of the ages of five members
Therefore, Average of the age of five family members=125/5=25

Is this solution Helpfull? Yes (4) | No (9)  

Vignesh  (12 years ago)

12 is the average age of the family at the birth of the youngest member.



Total Sum of the ages of family = 132 years now. (i.e., 6*22= 132yrs)

At the birth of the youngest member means 7 years earlier,

At that time the sum of the ages is 110-(7*6) years. (because of the presence of 6 members)

So the sum of the ages =68 and
Average is 60/5 = 12(because one of the members is not there)

Is this solution Helpfull? Yes (1) | No (6)  

RN jaiswal  (9 years ago)

{50(1),10(5,4,3,2,1,0),1(7)}=6 cases
50(2),10(0),1(7)=1
50(0),10(1,2,3,4,5,6,7,8,9,10),1(7)=10 cases
50(0),10(0),1(107)=1
total =18 cases

Is this solution Helpfull? Yes (1) | No   

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