# Problem on Ages Questions and Answers

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## Model Questions and Answers of Problem on Ages

1. In a school with 600 students, the average age of the boys is 12 years and that of girls is 11 years. If the average age of the school is Il years and 9 months, then the numbers of girls in the school is

A. 450

B. 250

C. 150

D. 350

2. One year ago a father was four times as old as his son. After 6 years his age exceeds than twice of his son’s age by 9 years. Ratio of their present ages is

A. 13:4

B. 12:5

C. 11:3

D. 9:2

3. A father said to his son “I was as old as you are at present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was

A. 14 years

B. 19 years

C. 38 years

D. 33 years

4. Ratio of Ashok’s age to Pradeep’s age is equal to 4: 3. Ashok will be 26 years old after 6 years. How old is Pradeep now ?

A. 12 years

B. 15 years

C. 19 + years

D. 21 years

5. The average age of a husband and wife was 23 years at the time of their marriage. After 5 years they have a one year old child. The average age of the family now is

A. 28.5 years

B. 19 years

C. 29.9 years

D. 23 years

6. 20. Renu’s mother was three times as old as Renu 5 years ago. After 5 years, she will be twice as old as Renu. Renu’s present age in years is

A. 35

B. 10

C. 20

D. 15

7. The ratio of the ages of father and son at present is 6: 1. After 5 years the ratio will become 7 : 2. The present age of the son is

A. 5 years

B. 6 years

C. 9 years

D. 10 years

8. The average age of a class of 20 students is 20 years. If the teacher’s age is also included the average age increases by one year. The teacher’s age is

A. 24 years

B. 30 years

C. 41 years

D. 44 years

9. The average age of x and y is 18. If z is equal to 9, the average of x. + and z is

A. 3

B. 9

C. – 12

D. 15

10. The ratio between the ages of A and B at present is 2 : 3. Five years hence the ratio of their ages will be 3 : 4. What is the present age of A ?

A. 10 years

B. 15 years

C. 25 years

D. Data inadequate

11. The average age of 12 players of a team is 25 years. If the captain’s age is included, the average age increases by 1 year. The age of the captain is

A. 25 years

B. 38 years

C. 36 years

D. 26 years

12. The average age of 24 students and the class teacher is 16 years. If the class teacher’s age is excluded, the average reduces by one year. What is the age of the class teacher?

A. 50 years

B. 45 years

C. 40 years

D. Data inadequate

E. None of these

13. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to

A. 21 years

B. 25 years

C. 24 years

D. 23 years

E. 22 years

14. If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total become 68. And, if the age of P is added to thrice the age of Q and twice the age of R, the total becomes 108. What is the age of P?

A. 15 years

B. 19 years

C. 17 years

D. 12 years

15. The product of the ages of Harish and Seema is 240. If twice the age of Seema is more than Harish’s age by 4 years, what is Seema’s age in years?

A. 12

B. 20

C. 10

D. 14

E. Data inadequate

16. The average age of 34 boys in a class is 14 years if the teacher’s age is included the average age of the boys and the teacher becomes 15. What is the teacher’s age?

A. 48 years

B. 46 years

C. 49 years

D. 45 years

17. Q is as much younger than R as he is older than T. If the sum of the ages of R and 7 is 50 years, what is definitely the difference between R and Q’s age?

A. 25 years

B. 1 year

C. 2 years

D. Data inadequate

E. None of these

18. The ratio of Ashok’s age to Pardeep’s is 4:3. Ashok will be 26 year old after 6 years. How old is Pardeep now?

A. 18 years

B. 21 years

C. 15 years

D. 24 years

19. 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. 20 years

B. 10 years

C. 30 years

D. None of these

20. If 10 years are subtracted from the present age of Ram and the remainder divided by 14, then you would get the present age of his grandson Shyam. If Shyam is 9 years younger to Sunder whose age is 14, then what is the present age of Ram?

A. 80 years

B. 70 years

C. 60 years

D. None of these

21. If 6 years is subtracted from the present age of Randheer and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh, whose age is 5 years, then what is the age of Randheer?

A. 84 years

B. 96 years

C. 48 years

D. 60 years

22. Two groups of student, whose average ages are 20 years and 30 years, combine to form a third group whose average age is 23 years. What is the ratio of the number of students in the first group to the number of students in the second group?

A. 5:2

B. 2:5

C. 7:3

D. None of these

23. The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages.

A. 20, 35, 45

B. 8, 20, 28

C. 16, 28, 36

D. None of these

24. A year ago, a father was four times his son’s age. In six years, his age will be 9 more than twice his son’s age. What is the present age of the son?

A. 10 years

B. 9 years

C. 20 years

D. None of these

25. In 1932, I was as old as the number formed by the last two digits of my birth year. When I mentioned this interesting coincidence to my grandfather, he surprised me by saying that the same applied to him also. The year of birth of my grandfather is

A. 1866

B. 1886

C. 1906

D. 1916

26. The average age of three boys is 16 years. If their ages are in the ratio 4: 5: 7, then the age of the youngest boy is

A. 8 years

B. 9 years

C. 12 years

D. 16 years

27. A father is twice as old as his son. 20 years back, he was twelve times as old as the son. What are their present ages?

A. 24, 12

B. 44, 22

C. 48,24

D. None of these

28. “I am eight times as old as you were when I was as old as you are”, said a man to his son. Find out their present ages if the sum of their ages is 75 years.

A. 47 yrs and 28 yrs

B. 42 yrs and 33 yrs

C. 48 yrs and 27 yrs

D. 46 yrs and 26 yrs

E. None of the above

29. My brother was 3 years of age when my sister was born, while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father and mother respectively when my brother was born?

A. 35 yrs, 33 yrs

B. 35 yrs, 29 yrs

C. 32 yrs, 23 yrs

D. 32 yrs, 29 yrs

E. None of these

30. Namrata’s father is now four times her age. In five ‘years, he will be three times her age. In how many years, will he be twice her age?

A. 5

B. 20

C. 25

D. 15