56
Q:

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 ?

A) 50 yrs B) 60 yrs
C) 70 yrs D) 65 yrs

Answer:   B) 60 yrs



Explanation:

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.

Subject: Problems on Ages
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Q:

The sum of the present ages of a father and his son is 126 years. 8 years ago their respective ages were in the ratio of 7 : 4. After 7 years what will be the ratio of ages of father and son?

 

A) 23 : 19 B)  17 : 11
C)  27 : 20 D) 34 : 23
 
Answer & Explanation Answer: B)  17 : 11

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Q:

Jeremy is 26 years younger than his father. Eight years hence his father's age will be two years less than twice his age. What is Jeremy's present age?

A) 20 years B) 18 years
C) 24 years D) 22 years
 
Answer & Explanation Answer: A) 20 years

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7 1178
Q:

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?

 

A) 40, 44, 36   B)  44, 40, 36  
C) 34, 26, 30   D) 30, 26, 34
 
Answer & Explanation Answer: C) 34, 26, 30  

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Q:

The ratio of present ages of Sheetal and Divya is 6 : 5. After 8 years, their ages will be in the ratio of 22 : 19. What is the present age (in years) of Divya?

 

A) 22     B)  38    
C)  34     D) 30
 
Answer & Explanation Answer: D) 30

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2 864
Q:

Tom's father is thrice as old as Tom. 10 years ago Tom's father's age was 7 times his age. What is Tom's current age? 

 

 

A) 17 years  B) 16 years 
C) 15 years  D) 14 years
 
Answer & Explanation Answer: D) 14 years

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3 1168
Q:

Average age of 4 daughters of a family is 12 years. The average age of daughters and their parents is 26 years. If the mother is 4 years older than the father, then what is the age (in years) of the father?

 

 

A) 56 B) 52
C) 48 D) 44
 
Answer & Explanation Answer: B) 52

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1 925
Q:

The present ages of Kavitha, Rajitha and Haritha are in the ratio of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A) 16,36,28 B) 16,28,36
C) 20,35,45 D) 12,21,27
 
Answer & Explanation Answer: B) 16,28,36

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12 1284
Q:

Satheesh is two years older than Goutham who is twice as old as Sai. If the total of the ages of Satheesh, Goutham and Sai is 27, then how old is Goutham?

A) 12 B) 10
C) 11 D) 13
 
Answer & Explanation Answer: B) 10

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