Latest CTS Aptitude Question SOLUTION: When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as toda

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When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?

Asked In CTS Kuldeep Singh (12 years ago)

Solved Kunal Anand Read Solution (9)

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Read Solution (9) :

Kunal Anand  (12 years ago)

let average age 10 yrs ago was x yrs,
total age 10 yrs before was 6x yr ,
at present,father died, now members remains= 5,
now total age after 10 yrs is (no. of member)*(x+10) yrs,i.e.total age is 5(x+10)
and after baby born total age = 5(x+10)+0, because baby age is 0 yrs
as per ques. both time, age is same i.e. 6x=5x+50+0
after solving.. x=50,i.e. father's age before 10 yrs was 50 yrs,
now father died after 10 yrs hence age at dead time= 50+10=60 yrs.

Is this solution Helpfull? Yes (79) | No (25)  

Bhumi N Chettri  (10 years ago)

before 10 years average age=6x;
after 10 years(today) father dies and baby is born, so age is-10+5x+0(0 years for baby)
now by the question,
The average age of my family during my marriage is same as today i.e- 6x=10+5x+0=> x=10;
so age of father before 10 years 6x10=60
since father dies after 10 years(today)
age of father is 60+10=70 years

Is this solution Helpfull? Yes (42) | No (10)  

Vadivelan M  (12 years ago)

60 years
before 10 years, his father's age is 50.
so today, other 5 people's age increases by 10 each.
Hence today without his father also the average age remains same.

Is this solution Helpfull? Yes (19) | No (12)  

kewal bakhai  (10 years ago)

Let the Father be x years when he died

Average Age 10 years ago be A

Total Age 10 years ago = 6*A

Total Age after 10 years(Just before father's Death) = 6A + 6*10 = 6A + 60

Father Died and Baby was born => the Total number of people in the family is Same (6)
Baby born today so age of baby = 0

(6A +60 - x)/6 = 6A/6
=> A + 10 -(x/6) = A
=> x/6 = 10
=> x = 60

Therefore we can conclude that the father was 60 years old when he died.

Is this solution Helpfull? Yes (5) | No (1)  

ANANT KUMAR MISHRA  (7 years ago)

Let average age 10 years ago be x yrs.
So for 6 members, total age would be 6x yrs;
after 10 years avg would increase by x+10
but only 5 members left because father died so total age 5(x+10) yrs
now baby is born but 0 yrs will be added so it still remains 5(x+10) yrs
according to question 6x=5(x+10)
gives you x=50
so 10 years go there were 6 member including father so 5 member + Father
so avg would (5*50 + F)/6=50
gives F=50
so father died 10 years later i.e today so
Father's age when he died 60 yrs

Is this solution Helpfull? Yes (1) | No   

Harivardhan  (8 years ago)

Baby Age - 0 as per ques.
Each F.member have a 10 years Gape
father Age before 10years back 50.
50+10=60 years ..

Is this solution Helpfull? Yes | No (1)  

Sakthi  (7 years ago)

answer is 60 yrs....

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Shubham kumar  (7 years ago)

Answer is 60 yrs

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johnnyjohnnynopapa  (3 years ago)

Let x be the Avg
Let x+10 be the Avg 10 yrs ltr
we know that a newborn child is 0 yrs
Replacing the grandpa by a 0 yr old individual has to produce an overall effect of -10
-10*6 = -60
Thus if we replace a 60 yr old man with a 0 yr old baby it produces the desired -10 effect to the avg

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