**Problems on AGES**

1) The ratio between the current age of A and B is 6:7. If B is 4 years old than A. What will be the ratio of the ages of A and B after 4 years?

A) 3 : 1

B) 4 : 5

C) Data inadequate

D) 4 : 3

E) None of these

If A’s age and B’s age will be 6A years and 7A years correspondingly

Then, 7A – 6A = 4

A = 4

Needed ratio = (6A + 4) : (7A + 4)

= 28 : 32

= 7 : 8

E. None of these

2) The Avg age of a class of 22 subject areas in 21 years. The avg increased by one when the lecturer’s age also involved. What is the age of the Lecturer?

A) 41

B) 43

C) 44

D) 40

Average * Subject Areas = Total Age

So => 21 years x 22 numbers = 462 years … (1)

=> 22 years x 23 numbers = 506 years … (2)

Therefore Lecturer’s age = Eqn(2) – Eqn(1)

= 506 – 462

= 44 Years.

C) 44

3) Right now, the ratio between the ages of Karthikh and Prasath is 4:3. After 6 years, Karthikh’s age will be 26 years. What is the age of Prasath right now?

A) 19 years

B) 21 years

C) 25 years

D) 15 years

If the current ages of Karthikh and Prasath be 4A years and 3A years correspondingly.

Then, 4A + 6 = 26

4A = 20

A = 5

Prasath’s age = 3A = 15 years.

D) 15 years

4) A father is two times as old as his daughter. 2 decades ago, the age of the father was 12 times the age of the daughter. The current age of the father is

A) 22

B) 32

C) 44

D) 45

Let daughter’s age = A.

Then father’s age = 2A

12 (A – 20) = (2A – 20)

10A = 220

A = 22

Father’s current age = 44 years.

C) 44 years old

5) 1 decad ago, Naresh was 3 times as old as Abdul was but 10 years hence, he will be just two times as old. Find Naresh’s current age

A) 70 years

B) 60 years

C) 80 years

D) 66 years

Condition : Naresh’s current age is A years and Abdul’s current age is B years.

Then, based on the first condition,

A – 10 = 3[B – 10]

or, A – 3B = -20 ..(1)

Here, Naresh’s age after 10 years

=(A + 10) years

Abdul’s age after 10 years = (B + 10)

(A+10) = 2(B+10)

or, A – 2B = 10 ..(2)

Solving Eqn(1) & Eqn(2), we will get

A = 70 and B = 30

Naresh’s age = 70 years and Abdul’s age = 30 years.

A) 70 years

6) Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.3 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?

A) 14

B) 42

C) 24

D) cannot be determined

E) None of these

If current ages of Rahim and Thomas be 5A years and 4A years correspondingly

Then, 5A + 3 = 11

4A + 3 = 9

9(5A + 3)=11(4A + 3)

A = 6

Thomas’s current age = 4A

= 24 years.

C) 24 Years

7) A father is Quadrice as old as his daughter today. After 20 years, he would be only two times as old. At the time of daughter’s birth, how much old the father be?

A) 37

C) 31

B) 35

D) 30

If the ages of daughter and father today by ‘A’ and ‘4A’ years correspondingly.

4A + 20 = 2 (A+20)

A = 10 years => 4A = 40 years.

At the time of daughter’s birth, father’s Age

40 – 10 = 30 years old

D) 30 years old

8) The overall ages of Kumar, Hathim and Rahul is 93 years. 1 decade ago, the ratio of their ages was 2 : 3 : 4. What is the current age of Rahul?

A) 24 years

B) 38 years

C) 28 years

D) 44 years

If the ages of Kumar, Hathim and Rahul 1 decade ago be 2A, 3A and 4A years correspondingly

Then, (2A + 10) + (3A + 10) + (4A + 10) = 93

9A = 93-30

9A = 63

A = 7

Rahul’s current age = (4A + 10)

= 38 years.

B) 38 years

9) Amith was 3 times as old as Harsh 6 years back. Amith will be 5/3 times as old as Harsh 6 years hence. How much old is Harsh today?

A) 12 years

B) 21 years

C) 11 years

D) 22 years

Let Harsh’s age 6 years back = A

Then, Amith’s age 6 years back = 32.

Then 5/3 (A + 6 + 6) = (3A + 6 + 6)

5(A + 12) = 3 (3A + 12)

4A = 24

A = 6

Harsh’s age today = (A + 6) years

= 12 years.

A) 12 Years

10) The ages of Smirthi and Samantha vary by 16 years, Six years ago, Deepika’s age was three times as that of Smirthi’s, find their current ages.

A) 10 years, 28 years

B) 11 years, 28 years

C) 14 years, 30 years

D) 16 years, 34 years

Let Smirthi’s age = A years

So, Deepika’s age = (A + 16) years

Also, 3(A – 6) = A + 16 – 6 or, A = 14

Smirthi’s age = 14 years

and, Deepika’s age = 14 + 16

= 30 years

C) 14 Years, 30 years