**Problems on AGES :- BANK PO Clerk Exam Special**

**Case-1**

If Present age = x years(Given)

Then,

Age ago ‘n’ years = (x-n) years

Age after ‘m’ years = (x+m) years

**Case-2**

If Age ago ‘n’ years = x years(Given)

Then,

Present age = (x+n) years

Age after ‘m’ years = (x+n+m) years

**Case-3**

If Age after ‘n’ years = x years(Given)

Then,

Present age = (x-n) years

Age ago ‘m’ years = (x-n-m) years

**1. Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is**

A. 90

B. 98

C. 120

D. Data is not adequate

**Answer: **D

**2. Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages**

A. 30

B. 35

C. 37

D. 41

**Answer: **B

**Explanation:**

Let A’s age 10 years ago = x years.

Then, B’s age 10 years ago = 2x years.

(x + 10) / (2x+ lO) = 3/4

=> x = 5.

So, the total of their present ages =(x + 10 + 2x + 10)

= (3x + 20) = 35 years.

**3. Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present**

A. 25

B. 30

C. 45

D. 60

**Answer: **B

**Explanation:**

Let their ages 10 years ago is x, 2x and 3x years.

10 + 2x + 10 + 3x + 10 = 90 hence x= 10

B’s present age = (2x + 10) =30 years

**4. The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be**

A. 15 years

B. 18 years

C. 20 years

D. 22 years

**Answer: **C

**Explanation:**

Clue : (60 – x) – 6 = 5(x – 6)

**5. Six years ago, the ratio of the ages of Kunal and Sagar was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Sagar age at present**

A. 10 years

B. 12 years

C. 14 years

D. 16 years

**Answer: **D

**Explanation:**

Let six years ago the age of Kunal and Sagar are 6x and 5x resp.

then,

=>(6x+6)+4(5x+6)+4=1110

<=>10(6x+10)=11(5x+10)

<=>5x=10=>x=2

So Sagar age is (5x+6) = 16

**6. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively**

A. 20,20

B. 20,10

C. 25,15

D. 30,10

**Answer: **D

**Explanation:**

Let their ages be x and (x + 20) years.

5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10.

Their present ages are 30 years and 10 years

**7. Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin**

A. 23.5

B. 24.5

C. 12.5

D. 14.5

**Answer: **B

**Explanation:**

If Rahul age is x, then Sachin age is x-7,

so (x-7)/x = 7/9

=> 9x-63 = 7x

=> 2x = 63

=> x = 31.5

So Sachin age is 31.5 – 7 = 24.5

**8. The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person**

A. 15

B. 20

C. 25

D. 30

**Answer: **D

**Explanation:**

Let’s take the present age of the elder person = x

and the present age of the younger person = x – 16

(x – 6) = 3 (x-16-6)

=> x – 6 = 3x – 66

=> 2x = 60

=> x = 60/2 = 30

**9. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is**

A. 20 years

B. 21 years

C. 22 years

D. 24 years

**Answer: **C

**Explanation:**

Let the son’s present age be x years. Then, man’s present age = (x + 24) years

=> (x + 24) + 2 = 2(x + 2)

=> x + 26 = 2x + 4

So, x = 22

**10. Ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find their present ages**.

A. 16,35,36

B. 12,28,36

C. 16,28,27

D. 16,28,36

**Answer: **D

**Explanation:**

Let the present ages are 4x, 7x, 9x.

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

=> 20x = 80

=> x = 4

So their present ages are: 16,28,36

**11. Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju**

A. 15

B. 14

C. 10

D. 8

**Answer: **C

**Explanation:**

Clearly,

x+15 = 5(x-5)

<=> 4x = 40 => x = 10

**12. Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age**

A. 12,28

B. 14,30

C. 16,32

D. 18,34

**Answer: **B

**Explanation:**

Let the age of younger person is x,

Then elder person age is (x+16)

=> 3(x-6) = (x+16-6) [6 years before]

=> 3x-18 = x+10

=> x = 14.

So other person age is x + 16 = 30

**13. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son**

A. 34,11

B. 35,10

C. 36,9

D. 40,5

**Answer: **C

**Explanation:**

Let sons age = x years. Then fathers age = (45 – x)years.

(x—5)(45—x—5) = 4(45- x – 5) hence (x—5) = 4 so x = 9

Their ages are 36 years and 9 years.

**14. Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages**

A. 35

B. 34

C. 45

D. 25

**Answer: **A

**Explanation:**

Let the present age of P and Q be 3x and 4x respectively.

Ten years ago, P was half of Q in age

=> 2(3x – 10) = (4x – 10)

=> 6x – 20 = 4x – 10

=> 2x = 10

=> x = 5

**15. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years**

A. 7:8

B. 7:9

C. 3:8

D. 5:8

**Answer: **A

**Explanation:**

Let P age and Q age is 6x years and 7x years.

Then 7x – 6x = 4 <=> x = 4

So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8

**16. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A**

A. 11

B. 12

C. 13

D. 14

**Answer: **B

**Explanation:**

Given that A+B = 12 + B + C

=> A – C = 12 + B – B = 12

=> C is younger than A by 12 years

**17. Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence**

A. 18

B. 25

C. 15

D. 20

**Answer: **D

**Explanation:**

Sachin’s age today = 30 years.

Sachin’s age 10 years back = 20 years.

Ajay’s age 10 years back = 10 years.

Ajay’s age today =20 years

**18. Tanya’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.**

A. 11:50

B. 11:51

C. 11:53

D. 11:54

**Answer: **C

**Explanation:**

Let, Tanya age 16 years ago = x,

Grandfather’s age 16 years ago = 8x.

8 years from now, 3(x+16+8) = (8x+16+8)

=> x = 48/5

8 years ago ratio was:

=>x+88x+8=485+88×485+8

=>88424=1153

**19. 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. How old is the mother at present**

A. 38

B. 40

C. 42

D. 44

**Answer: **B

**Explanation:**

Let the mother’s present age be x years.

Then, the person’s present age = (2/5 x) years.

=> (2/5 x + 8/2) = 1 (x + 8)

=> 2(2x + 40) = 5(x + 8)

=> x = 40

**20. Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.**

A. 14

B. 15

C. 20

D. 22

**Answer: **B

**Explanation:**

Present age is 4x and 3x,

=> 4x + 6 = 26 => x = 5

So Deepak age is = 3(5) = 15

**21. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is**

A. 21 years

B. 22 years

C. 23 years

D. 24 years

**Answer: **B

**Explanation:**

Let’s Son age is x, then Father age is x+24.

=> 2(x+2) = (x+24+2)

=> 2x+4 = x+26

=> x = 22 years

**22. Sushil was thrice as old as Snehal 6 years back. Sushil will be times as old as Snehal 6 years hence. How old is Snehal today**

A. 12

B. 16

C. 18

D. 24

**Answer: **A

**Explanation:**

Let Snehals age 6 years back = x.

Then, Sushils age 6 years back = 3x.

(5/3) * (X + 6 + 6) = (3X + 6 + 6)

So 5(x+ 12) = 3(3x+ 12),

so x=6.

Snehal Age = (x+ 6) years = 12 years

**23. In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is**

A. 35

B. 37

C. 39

D. 41

**Answer: **C

**Explanation:**

Let B’s age = x years.

Then, As age = (x+ 9) years.

(x+9+10)=2(x—10)

hence x=39.

Present age of B = 39 years