Problems on Ages Questions

Q:

The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 11 yrs B) 9 yrs
C) 7 yrs D) 13 yrs
 
Answer & Explanation Answer: B) 9 yrs

Explanation:

Let the present ages of A and B be 'x' and 'y' respectively

From the given data, 

[(x-2) + (y-2)]/2 = 26

=> x+y = 56

But given the age of A, 5 years hence is 40 yrs => present age of A = 40 - 5 = 35 yrs

=> x = 35 => y = 56 - 35 = 21

=> Age of B = 21 yrs

Given B is 5 years younger to C,

=> Age of C = 21 + 5 = 26 yrs

=> Required Difference between ages of A and C = 35 - 26 = 9 yrs.

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Q:

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?

A) 4 B) 8
C) 10 D) None
 
Answer & Explanation Answer: A) 4

Explanation:

Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12. 

 

We know that the sum of their ages is 50 .

 

so, x+(x+3)+(x+6)+(x+9)+(x+12) = 50

 

=>  x= 4

 

 The youngest child is 4 years old.

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Q:

When Ram was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ram's brother is 6 years older than Ram and his mother is 3 years younger than his father, how old was Ram's sister when Ram was born ?

A) 6 years B) 8 years
C) 10 years D) 12 years
 
Answer & Explanation Answer: C) 10 years

Explanation:

Ram age when he was born = 0 years
=> His brother's age = 6 year
=> His father's age = brother age + 32years = 6+32 = 38
=> His mother's age = father's age - 3 = 35
So sister's age = 35-25 = 10years.

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13 11550
Q:

The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ?

A) 27, 9, 21 B) 9, 21, 27
C) 21, 27, 9 D) 9, 27, 21
 
Answer & Explanation Answer: D) 9, 27, 21

Explanation:

Let Anushka age = X
Charu latha 12 yrs older than Anushka so Charu latha age = x+12
Kajal is thrice as old as Anushka so Kajal age = 3x
The ages of Anushka, Kajal and Charu latha together are 57 years
i.e x + (x+12) + 3x = 57
=> 5x = 45
:- x = 9
Anushka age = 9
Kajal age = 3x = 27
Charu latha age = x+12 = 21

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15 10569
Q:

Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find Shiva’s present age ?

A) 70 years B) 30 years
C) 60 years D) 40 years
 
Answer & Explanation Answer: B) 30 years

Explanation:

Let Karan’s present age be x years and Shiva’s present age be y years.
Then, according to the first condition,
x - 10 = 3(y - 10) or x - 3y = - 20 ..(1)
Now, Karan’s age after 10 years = (x + 10) years
Shiva’s age after 10 years = (y + 10)
(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2)
Solving (1) and (2), we get x = 70 and y = 30
Karan’s age = 70 years and Shiva’s age = 30 years.

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12 10109
Q:

Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

A) 25 years B) 24 years
C) 23 years D) 22 years
 
Answer & Explanation Answer: A) 25 years

Explanation:

Let varun's age = x yrs.

From the given conditions,

x+1  =  2(x-12)

x = 25 years.

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14 9808
Q:

The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?

A) 32 B) 33
C) 34 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Given S = 17 yrs

A = 16 yrs

B = 12 yrs

Average = 17 + 16 + 12/3 = 15 yrs

Given if Aslam added to them, their average increases by 5

=> Average of 4 members = 20

Let the age of Aslam be 'x'

Then, 

17 + 16 + 12 + x /4 = 20

=> x = 80 - 45

=> x = 35. 

 

Hence, the age of Aslam is 35 yrs.

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15 9713
Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs B) 4 yrs
C) 3 yrs D) 5 yrs
 
Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
         -----------
               2 years

Therefore, the age of child is 2 years.

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18 9708