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You need to login to ask any Questions from chapter Problems-on-Ages of Arithmetic-Aptitude

Chapter:

Problems-on-Ages

1. The sum of present ages of a far and his son is 60 years. Six years ago, far's age was five times age of son. After 6 years, son's age will be:

12 years 14 years 18 years 20 years

20 years

Let present ages of son and far be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

Hint Answer

2. The age of far 10 years ago was thrice age of his son. Ten years hence, far's age will be twice that of his son. The ratio of ir present ages is:

5 : 2 7 : 3 9 : 2 13 : 4

7 : 3

Let ages of far and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Hint Answer

3. Far is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After furr 8 years, how many times would he be of Ronit's age?

2 times `5/2` times `11/4` times 3 times

2 times

Let Ronit's present age be x years. Then, far's present age =(x + 3x) years = 4x years.

`(4x+8)=5/2 (x+8)`

8x + 16 = 5x + 40

3x = 24

x = 8.

Hence, required ratio

is, `=(4x+16)/(x+16)=2`

Hint Answer

4. Q is as much younger than R as he is older than T. If sum of ages of R and T is 50 years, what is definitely difference between R and Q's age?

1 year 2 years 25 years Data inadequate

Data inadequate

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and refore Q = 25.

Question is (R - Q) = ?

Here we know value(age) of Q (25), but we don't know age of R.

Therefore, (R-Q) cannot be determined.

Hint Answer

5. Present ages of Sameer and Anand are in ratio of 5 : 4 respectively. Three years hence, ratio of ir ages will become 11 : 9 respectively. What is Anand's present age in years?

24 27 40 Cannot be determined

24

Let present ages of Sameer and Anand be 5x years and 4x years respectively.

Then,

`(5x+3)/(4x+3)=11/9`

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

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Anand's present age = 4x = 24 years.

Hint Answer

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

14 years 18 years 20 years 22 years

22 years

Let 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

x = 22.

Hint Answer

7. Sachin is younger than Rahul by 7 years. If ir ages are in respective ratio of 7 : 9, how old is Sachin?

16 years 18 years 28 years 24.5 years

24.5 years

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years.

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

9x - 63 = 7x

2x = 63

x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years.

Hint Answer

8. A far said to his son, "I was as old as you are at present at time of your birth". If far's age is 38 years now, son's age five years back was:

14 years 19 years 33 years 38 years

14 years

Let son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.

Hint Answer

9. Ayesha's far was 38 years of age when she was born while her mor was 36 years old when her bror four years younger to her was born. What is difference between ages of her parents?

2 years 4 years 6 years 8 years

6 years

Mor's age when Ayesha's bror was born = 36 years.

Far's age when Ayesha's bror was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

Hint Answer

10. At present, ratio between ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is age of Deepak at present ?

12 years 15 years 19 and half 21 years

15 years

Let present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26 4x = 20

x = 5.

Deepak's age = 3x = 15 years.

Hint Answer

Nexttt

All Chapters

View all Chapter and number of question available From each chapter from Arithmetic-Aptitude

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Problems on Ages

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Percentage

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Profit and Loss

Speed Time and Distance

Speed Time and Distance

Time and Work

Permutation and Combination

Permutation and Combination

Alligations

Partnership

Train Problems

Probability

Topics

This Chapter Problems-on-Ages consists of the following topics

Problems on Ages

The sum of present ages of a far and his son is 60 years. Six years ago, far's age was five times age of son. After 6 years, son's age will be:

The age of far 10 years ago was thrice age of his son. Ten years hence, far's age will be twice that of his son. The ratio of ir present ages is:

Far is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After furr 8 years, how many times would he be of Ronit's age?

Q is as much younger than R as he is older than T. If sum of ages of R and T is 50 years, what is definitely difference between R and Q's age?

Present ages of Sameer and Anand are in ratio of 5 : 4 respectively. Three years hence, ratio of ir ages will become 11 : 9 respectively. What is Anand's present age in years?

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

Sachin is younger than Rahul by 7 years. If ir ages are in respective ratio of 7 : 9, how old is Sachin?

A far said to his son, "I was as old as you are at present at time of your birth". If far's age is 38 years now, son's age five years back was:

Ayesha's far was 38 years of age when she was born while her mor was 36 years old when her bror four years younger to her was born. What is difference between ages of her parents?

At present, ratio between ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is age of Deepak at present ?

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