Problem on Age MCQ Quiz - Objective Question with Answer for Problem on Age - Download Free PDF

Given:

4 years ago, the age of Garvit was three times that of Yuvansh, but one year ago the age of Garvit was two times that of Yuvansh.

Method used:

Elimination method of linear equation in two variable

Calculation:

Let the present age of Garvit be x years and the present age of Yuvansh be y years.

Then, 4 years ago, x - 4 = 3 × (y - 4)...(1)

And one year ago, x - 1 = 2 × (y - 1) ...(2)

Subtracting (2) from (1),

- 3 = y - 10

y = 7 

Substituting y = 7 in (1),

x = 3 × (7 - 4) + 4 = 13   

∴ The difference between the ages of Garvit and Yuvansh is 13 - 7 = 6 years.

Given:

The ratio of the present ages of X and Y is 4 ∶ 5.

After 6 years, the ratio of their ages will be 6 ∶ 7.

Formula Used:

Let the present ages of X and Y be 4k and 5k respectively.

After 6 years, the ages of X and Y will be (4k + 6) and (5k + 6) respectively.

According to the given condition: (4k + 6) / (5k + 6) = 6 / 7

Calculation:

⇒ (4k + 6) / (5k + 6) = 6 / 7

⇒ 7(4k + 6) = 6(5k + 6)

⇒ 28k + 42 = 30k + 36

⇒ 30k - 28k = 42 - 36

⇒ 2k = 6 ⇒ k = 3

The present ages of X and Y are 4k and 5k respectively.

⇒ X = 4k = 4 × 3 = 12 years

⇒ Y = 5k = 5 × 3 = 15 years

The difference between their ages:

⇒ 15 - 12 = 3 years

The correct answer is option 1, 3 years.

Given:

The ratio of ages of P and Q, 5 years ago = 5 : 7

Formula used:

If the ratio of ages is a : b, then their ages can be represented as:

P's age = 5x, Q's age = 7x (where x is the multiplier)

Sum of their ages after 5 years = (P's age + 5) + (Q's age + 5)

Calculation:

5 years ago, P's age = 5x and Q's age = 7x

⇒ Current ages:

P's age now = 5x + 5

Q's age now = 7x + 5

⇒ After 5 years:

P's age = (5x + 5) + 5 = 5x + 10

Q's age = (7x + 5) + 5 = 7x + 10

⇒ Sum of their ages after 5 years:

(5x + 10) + (7x + 10) = 12x + 20

Now, we will solve this equation using the Options.

Here we will put the value of x as 1, 2 ,3 and so on.

When we put the value of x = 6

We get, (12 × 6) + 20 = 72 + 20 = 92.

∴ The correct answer is Option 4).

Given:

Five years ago, the average age of Puneet and Amrita was 15 years.

Today the average age of Puneet, Amrita and Renu is 20 years.

Formula used:

Average × number of observation = sum of observation

Calculations:

When, average of Puneet and Amrita before 5 years ago was 15,

Puneet - 5 + Amrita - 5 = 15 × 2

=> Puneet + Amrita = 30 + 5 + 5

=> Puneet + Amrita = 40

Now, again, when average of the three = 20

Puneet + Amrita + Renu = 20 × 3 = 60

=> Renu = 60 - 40 = 20 (putting the summation of Puneet and Amrita)

Required age of Renu after 12 years = 20 + 12 = 32 years

∴ The answer is 32 years.

Given:

Present age of Karan = 25 years

In 5 years, the ratio of age of Karan to Sangeet = 6 : 7

Formula used:

Let the present age of Sangeet = x

After 5 years, age of Karan = 25 + 5 = 30 years

After 5 years, age of Sangeet = x + 5

Calculations:

The ratio of their ages after 5 years = 6 : 7

⇒ (30) / (x + 5) = 6 / 7

⇒ 7 × 30 = 6 × (x + 5)

⇒ 210 = 6x + 30

⇒ 6x = 210 - 30

⇒ 6x = 180

⇒ x = 180 / 6

⇒ x = 30

Present age of Sangeet = 30 years

Age of Sangeet four years ago = 30 - 4 = 26 years

∴ The age of Sangeet four years ago was 26 years.

Let the ages of the man and his wife be 5x and 8x respectively.

After ten years,

ratio of the man and his wife will be 2 : 3;

⇒ (5x + 10) / (8x + 10) = 2 : 3

Hence, x = 10

The ages of the man and his wife are 50 and 80 respectively.

∴ The ratio of their ages after 20 years is 70 : 100 = 7 : 10

Given:

Four years ago age ratio of Ram and Rahul = 3 : 4

Present age ratio of Ram and Rahul = 17 : 22

Calculation:

Four years ago age ratio of Ram and Rahul = 3x : 4x

According to the question

(3x + 4)/(4x + 4) = 17/22

⇒ 22 × (3x + 4) = 17 × (4x + 4)

⇒ 66x + 88 = 68x + 68

⇒ 68x – 66x = 88 – 68

⇒ 2x = 20

⇒ x = 10

Present age of Ram = 3 × 10 = 30 + 4 = 34

Present age of Sunil = 34 – 5 = 29 years 

∴ the correct answer is 29 years.

Shortcut Trick 

Many students ignore to read full question, So please read full question before solving it. 
In the last line of question there is mentioned that Ram is 5 years older than Sunil. 
So if you Calculate Ram's age than you also can calculate Sunil's age.

Given:

Karan was born 3 years after his parent's marriage.

His father is 6 years older than his mother but 26 years older than Karan.

Karan is 12 years of age as on today.

Calculation:

According to question,

⇒ F = 6 + M

⇒ F = 26 + K 

Since now karan is 12 years old so,

⇒ K = 12,

⇒ F = 38,

⇒ M = 32

Now at the time of birth age will be ,

⇒ F = 26

⇒ M = 20 

Since karan was born 3 years after his parents marriage so

Age of motrher = 20 - 3 = 17

∴ 'The correct answer is 17 years.

Given:

Manish age = 20 years

Greece age = 20/5 = 4 years

Let after x years Manish will become three times as old as Greece:

(20 + x) = 3 × (4 + x)

20 + x = 12 + 3x

2x = 8

x = 4

After 4 years Manish's age will be 24 years and Greece's age 8 years.

When Manish's age is 24 years old he became three times as old as Greece.

Hence, the correct answer is "24".

Given:

Amita's father was 38 years old when she was born.

Her mother was 36 years old when her brother was born.

Her brother was four years younger than her.

Calculation:

Let the present age of Amita be P years.

So,

The age of her father = (38 + P) years

The age of her brother = (P - 4) years

The age of her mother = 36 + (P - 4) = (32 + P) years

Now, the age difference between her parents = (38 + P) - (32 + P) = 6 years

∴ The difference between the ages of her parents is 6 years.

Given:

(Man's age + 15 years) = 4(Man's age - 15 years)

Calculation:

Let the present age of the man be x years

According to the question,

⇒ (x + 15) = 4(x - 15)

⇒ x + 15 = 4x - 60

⇒ 4x - x = 15 + 60

⇒ 3x = 75

⇒ x = 25

∴ The present age of man is 25 years.

Let the ages of Keshav and Danish after six years be 19x and 17x respectively

⇒ Present age of Keshav = (19x - 6) years

⇒ Present age of Danish = (17x - 6) years

According to question, age of Keshav 4 years ago is equal to present age of Danish

19x - 6 - 4 = 17x - 6

⇒ 2x = 4

⇒ x = 2

Present age of Keshav = (19 × 2) - 6 = 32 years

Present age of Danish = (17 × 2) - 6 = 28 years

Sum of their ages = 32 + 28 = 60

∴ The sum of their ages is 60.

Given:

Wife was born 23 years ago (which means her present age is 23 years

Ratio of ages of Rahul and his wife 7 years from now will be 7 : 6

Calculation:

Let the present age of husband be x years.

Age of husband 7 years hence = x + 7

Present age of wife = 23 years

Age of wife after 7 years = 30 years

According to the question,

Ratio of ages of husband and wife 7 years from now = 7 : 6

⇒ (x + 7)/30 = 7/6

⇒ x + 7 = 35

⇒ x = 28 years

∴ Age of Rahul after 2 years = 30

Given,

Let present age of Radha and Ram be a years and b years respectively.

⇒ (a - 6) : (b - 6) = 5 : 8

⇒ 8a - 48 = 5b - 30

⇒ 8a - 5b = 18

Then,

⇒ b - a = 6

Solving,

a = 16 years and b = 22 years

Then,

⇒ (16 + ?) : (22 + ?) = 13 : 16

⇒ 256 + 16? = 286 + 13?

⇒ ? = 10

∴ after 10 years ratio will become 13 :16.

Given:

5 years ago, ratio of ages of A, B and C = 4 : 5 : 7.

Sum of their present ages = 135 years.

Concept used:

Total = Average × Number of entities

Calculation:

Let the common ratio be Q.

So, 5 years ago, the ages of A, B, and C are 4Q, 5Q, and 7Q respectively.

Now, their present ages are (4Q + 5), (5Q + 5), and (7Q + 5) respectively.

According to the question,

(4Q + 5) + (5Q + 5) + (7Q + 5) = 135

⇒ 16Q + 15 = 135

⇒ 16Q = 135 - 15

⇒ 16Q = 120

⇒ Q = 7.5

The present age of B = (5 × 7.5 + 5) = 42.5 years

The present age of C = (7 × 7.5 + 5) = 57.5 years

Now, 3 years from now, the sum of the ages of B and C

⇒ (42.5 + 3) + (57.5 + 3)

⇒ 106 years

∴ After 3 years from now, the sum of the ages of B and C will be 106 years.