Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.
(a) 54
(b) 30
(c) 44
(d) 40

Solution

Answer    (d)
Explanation
----
Let the age of the son before 8 years = x
Then age of Kamal before 8 years ago = 4x

After 8 years, Kamal will be twice as old as his son
=> 4x + 16 = 2(x + 16)
=> x = 8

Present age of Kamal = 4x + 8 = 4×8 + 8 = 40

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. What is father's present age?
(a) 11
(b) 44
(c) 33
(d) 22

Solution

Answer    (c)
Explanation
----
Let the present age the son = x
Then present age of the father = 3x + 3

Given that ,three years hence, father's age will be 10 years more than twice the age of the son
=> (3x + 3 + 3) = 2(x + 3) +10
=> x = 10

Father's present age = 3x + 3 = 3×10 + 3 = 33

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?
(a) 3
(b) 2
(c) 4
(d) Data Inadequate

Solution

Answer    (d)
Explanation
----
Age of C < Age of A < Age of B

Given that sum of the ages of B and C is 50 years.
Let's take B's age = x and C's age = 50-x

Now we need to find out B's age – A's age. But we cannot find out this with the given data.

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
(a) 50
(b) 60
(c) 30
(d) 40

Solution

Answer    (d)
Explanation
----
Let the present age of the person = x
Then present age of the mother = 5x2

Given that, after 8 years, the person will be one-half of the age of his mother.
=> (x + 8) = 12(5x2+8)
=> 2x + 16 = 5x2+8
=> x2 = 8
=> x = 16

Present age of the mother = 5x2=5×162=40

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] The present ages of A,B and C are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?
(a) 16,28 and 36
(b) 16,38 and 26
(c) 26,28 and 26
(d) 16,28 and 46

Solution

Answer    (a)
Explanation
----
Let's take the present age of A,B and C as 4x, 7x and 9x respectively

(4x - 8) + (7x – 8) + (9x – 8) = 56
=> 20x = 80
=> x = 4

Hence the present age of A, B and C are 4×4, 7×4 and 9×4 respectively
ie, 16,28 and 36 respectively.

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age my father when my brother was born?
(a) 32
(b) 23
(c) 42
(d) 24

Solution

Answer    (a)
Explanation
----
Let my age = x

Then
My brother's age = x + 3
My mother's age = x + 26
My sister's age = (x + 3) + 4 = x + 7
My father's age = (x + 7) + 28 = x + 35

=> age my father when my brother was born = x + 35 – (x + 3) = 32

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] At present, the ratio between the ages of Shekhar and Shobha is 4 : 3. After 6 years, Shekhar's age will be 26 years. Find out the age of Shobha at present?
(a) 13
(b) 14
(c) 15
(d) 16

Solution

Answer    (c)
Explanation
----
After 6 years, Shekhar's age will be 26 years
=> Present age of Shekhar = 26 – 6 = 20

Let present age of Shobha = x

Then
20x=43
x = 20×34=15

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj's age at present?
(a) 14
(b) 26
(c) 16
(d) 24

Solution

Answer    (c)
Explanation
----
Given that , six years ago, the ratio of the ages of Vimal and Saroj = 6 : 5

Hence we can assume that
age of Vimal six years ago = 6x
age of Saroj six years ago = 5x

After 4 years, the ratio of their ages = 11 : 10
=> (6x+10) : (5x + 10) = 11 : 10
=> 10(6x + 10) = 11(5x + 10)
=> 5x = 10
=> x = 105 = 2

Saroj's present age = 5x + 6 = 5×2 +6 = 16

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Kiarn is younger than Bineesh by 7 years and their ages are in the respective ratio of 7 : 9, how old is Kiran?
(a) 24.5
(b) 25.4
(c) 25.6
(d) 24.4

Solution

Answer    (a)
Explanation
----
Let the ages of Kiran and Bineesh are 7x and 9x respectively

7x = 9x - 7
=> x = 72 = 3.5

Kiran's age = 7x = 7 × 3.5 = 24.5

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age.
(a) 5 years
(b) 7 years
(c) 6 years
(d) 4 years

Solution

Answer    (a)
Explanation
----
Consider Ayisha's present age = x
Then her father's age = 6x

Given that Ayisha 's father's age will be twice the age of Shankar's age after 10 years
=> Shankar's age after 10 years = 12(6x + 10) = 3x + 5

Also given that Shankar's eight birthdays was celebrated two years before
=> Shankar's age after 10 years = 8 + 12 = 20
=> 3x + 5 = 20
=> x = 153 = 5

Therefore, Ayisha 's present age = 5 years

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?
(a) 18
(b) 14
(c) 16
(d) 12

Solution

Answer    (b)
Explanation
----
Let the son's present age be x years.

Then, (38 - x) = x
=> 2x = 38
=> x = 382 = 19

Son's age 5 years back = 19-5 = 14

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
(a) 24
(b) 54
(c) 34
(d) 44

Solution

Answer    (d)
Explanation
----

Total age of all students = 22×21

Total age of all students + age of the teacher = 23 × 22

Age of the teacher = 23×22 – 22×21 = 22(23-21) = 22×2 = 44

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q]A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B? 
(a) 30
(b) 20
(c) 10
(d) 40

Solution

Answer    (c)
Explanation
----
Let the age of C = x. Then

Age of B = 2x
Age of A = 2 + 2x

The total age of A,B and C =27
=> (2+2x) + 2x + x = 27
=> 5x = 25
=> x = 255 = 5

B's age = 2x = 2×5 = 10

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?
(a) 6
(b) 4
(c) 8
(d) 10

Solution

Answer    (b)
Explanation
----
Let the age of the youngest child = x
Then the ages of 5 children can be written as x, (x+3), (x+6),(x+9) and (x+12)

x + (x+3) + (x+6) + (x+9) + (x+12) = 50
=> 5x + 30 = 50
=> 5x = 20
=> x = 205 = 4

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Present ages of Kiran and Syam are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Syam's present age in years?
(a) 26
(b) 24
(c) 30
(d) 28

Solution

Answer    (b)
Explanation
----
Ratio of the present age of Kiran and Syam = 5 : 4

Let the present age of Kiran = 5x
Present age of Syam = 4x

After 3 years, ratio of their ages = 11:9
=> (5x + 3) : (4x + 3) = 11 : 9
=> 9(5x + 3) = 11(4x + 3)
=> 45x + 27 = 44x + 33
=> x = 33-27 =6

Syam's present age = 4x = 4×6 = 24

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
(a) 55
(b) 33
(c) 22
(d) 44

Solution

Answer    (c)
Explanation
----
Let the present age of the son = x years
Then present age the man = (x+24) years

Given that in 2 years, man's age will be twice the age of his son
=> (x+24) +2 = 2(x+2)
=> x = 22

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] A man's age is 125% of what it was 10 years ago, but 83 1/3 % of what it will be after ten 10 years. What is his present age?
(a) 60
(b) 50
(c) 45
(d) 55

Solution

Answer    (b)
Explanation
----
Let the age before 10 years = x

Then 125x100 = x + 10
=>125x = 100x + 1000
=> x = 100025 = 40

Present age = x + 10 = 40 +10 = 50

Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Choose any one of the below
(a) 52
(b) 25
(c) 35
(d) 53

Solution

Answer    (c)
Explanation
----
Let the present age of P and Q be 3x and 4x respectively.

Ten years ago, P was half of Q's age
=> (3x – 10) = 12(4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5

total of their present ages = 3x + 4x = 7x = 7 × 5 = 35