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

Given:

Arvind's current age = 40 years.

Asha's current age = 25 years.

Calculation:

Let the number of years ago be x .

Arvind's age x years ago = 40 - x .

Asha's age x years ago = 25 - x .

Condition: Arvind's age x years ago = 4 × Asha's age x years ago.

Equation: 40 - x = 4 × (25 - x ).

⇒ 40 - x = 4 × (25 - x

⇒ 40 - x = 100 - 4x

⇒ 40 - 100 = -4x + x

⇒ -60 = -3x

⇒ x = 60 / 3

⇒ x = 20

Arvind was four times as old as Asha 20 years ago.

Given:

Rahul's present age = 3 × Daughter's present age

After 8 years, Rahul's age = 2 × Daughter's age + 5

Formula used:

Let daughter's present age = x

Then Rahul's present age = 3x

Calculation:

After 8 years:

Rahul's age = 3x + 8

Daughter's age = x + 8

Given: 3x + 8 = 2(x + 8) + 5

⇒ 3x + 8 = 2x + 16 + 5

⇒ 3x + 8 = 2x + 21

⇒ 3x - 2x = 21 - 8

⇒ x = 13

Rahul's present age = 3 × 13 = 39

∴ The correct answer is years.

Given:

Sum of present ages of Kamal and Vishnu = 60 years

6 years ago, Kamal’s age was 5 times the then age of Vishnu.

Calculation:

Let the present ages of Kamal are x and Vishnu be y years.

⇒ x + y = 60

⇒ x = 60 – y                   → (1)

6 years ago,

Kamal's age = x – 6

Vishnu's age = y – 6

According to the question,

⇒ x – 6 = 5(y – 6)

⇒ x – 5y = –30 + 6 = –24

⇒ x = 5y – 24                    → (2)

Equating both the equations,

⇒ 60 – y = 5y – 24

⇒ 6y = 60 + 24 = 84

⇒ y =  = 14

Therefore, the present age of Vishnu is 14 years.

Given:

Ratio of A : B = 5 : 2

Present age of B = 18 years

Formula used:

If A : B = 5 : 2 and B = 18, then A = (5/2) × 18

Calculation:

⇒ A = (5 × 18) ÷ 2

⇒ A = 90 ÷ 2 = 45

∴ The present age of A is: 45 years

Given:

The current ages of X and Y are in the ratio 5:3. Four years from now, their ages will be in the ratio 7:5. We need to find Y's current age.

Let the current age of X be 5k and the current age of Y be 3k.

After 4 years, the ages of X and Y will be (5k + 4) and (3k + 4), respectively. We are given that at that time, their ages will be in the ratio 7:5:

Formula used:

(5k + 4) / (3k + 4) = 7 / 5

Calculations:

Cross-multiply the equation:

5 × (5k + 4) = 7 × (3k + 4)

⇒ 25k + 20 = 21k + 28

Now, solve for k:

25k - 21k = 28 - 20

⇒ 4k = 8

⇒ k = 2

Now, find Y's current age:

Y's current age = 3k = 3 × 2 = 6 years

Conclusion:

Y's current age is 6 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:

Ratio between the present ages of Ram and Ramesh is 3 : 5

After 7 years the ratio of their ages will be 4 : 5.

Calculation:

Let the present age of Ram and Ramesh be 3x and 5x

According to the question,

⇒ 15x + 35 = 20x + 28

⇒ 35 - 28 = 20x - 15x

⇒ 5x = 7

⇒ x = 7/5

So, the present age of Ramesh = 5 × 7/5

⇒ 7 years

∴The present age of Ramesh is 7 years.