AGES MATHEMATICS
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| AGES MATHEMATICS |
Important information:- Age is defined as a period of time that a person has lived or a thing has existed. Age is measured in months, years, decades and so on.
## Problem based on ages generally consists of information of ages of two or more persons and a
relation between their ages in present/future/past. this type mathematics are totally based on the ages.
Table of Contain:-
## The difference between the ages of Meena and Seema is 3 yr and the ratio between their
ages is 7 : 8. What is the sum of their ages?
## The sum of the present ages of Varun and Kapil is 42 years . The ratio of their ages after 5 years will be 15:11 What is the present age of Kapil?
## The ratio between the present ages of Indira and Lizzy is 3:8, respectively. After 8 years , Indira's age will be 20 years . What was Lizzy's age 5 years ago?
##The present ages of two persons are 36 and 50 yr, respectively. If after n yr the ratio of their ages will be 3 : 4, then the value of n is ?
##The present age of Ravi's father is four times Ravi's present age. Five years back, Ravi's father was seven times as old as Ravi was at that time. What is the present age of Ravi's father?
1. The present ages of Reena and Usha are 24 and 36 years , respectively. What was the ratio between the ages
of Usha and Reena respectively 8 years ago?
(a) 7 :4
(b) 4:7
(c) 11:8
(d) 8:11
(e) None of the above
Answer:- (a) 7 :4
2. Raju decided to marry 3 years after he gets a job. He was 17 years old when he passed class 12th. After passing
class 12th, he had completed his graduation course in 3 years and PG course in 2 years . He got the job exactly 1 years after completing his PG course. At what age will he get married?
(a) 27 years
(b) 26 years
(c) 28 years
(d) 23 years
(e) None of the above
Answer:- (b) 26 years
3. The average age of 8 children of a family is 12 years . If the age of 7 children are 12, 8, 14, 11, 9, 13 and 15 years , then the age of 8th child will be [RRB 2008]
(a) 12 years
(b) 14 years
(c) 13 years
(d) 15 years
(e) None of the above
Answer:- (b) 14 years
4. The ratio between the present ages of A and B is 4: 5. If the ratio between their ages 4 years hence becomes
14:17, then what is B's age at present?
(a) 30 years
(b) 28 years
(c) 34 years
(d) Data inadequate
(e) None of the above
Answer:- (a) 30 years
5. In a family, the average age of father and mother is 35 years . The average age of the father, mother and
their only son is 27 years . What is the age of the son?
(a) 12 years
(b) 11 years
(c) 10.5 years
(d) 10 years
(e) None of the above
Answer:- (b) 11 years
6. The sum of the present ages of Varun and Kapil is 42 years . The ratio of their ages after 5 years will be 15:11
What is the present age of Kapil?
(a) 17 years
(b) 24 years
(c) 25 years
(d) 22 years
(e) None of the above
Answer:- (a) 17 years
7. The average age of 9 students and their teacher is 16 years . The average age of the first four students is 19 years and that of the last five is 10 years . The teacher's age is ?
(a) 36 years
(b) 34 years
(c) 30 years
(d) 28 years
(e) None of the above
Answer:- (b) 34 years
8. At present, Anil is 1.5 times of Purvi's age. 8 years hence, the respective ratio between
Anil and Purvi's ages
will be 25: 1& What is Purvi's present age?
(a) 50 years
(b) 28 years
(c) 42 years
(d) 36 years
(e) None of the above
Answer:- (b) 28 years
9. The average of the present ages of Sachin and Saurabh is 36 yr. If Sachin is 8 years older than Saurabh,
what is the Saurabh's present age?
[Allahabad Bank Clerk 2010]
(a) 30 years
(b) 34 years
(c) 32 years
(d) 40 years
(e) None of the above
Answer:- (c) 32 years
10. At present Meena is eight times her daughter's age. 8 years from now, the ratio of the ages of Meena and
her daughter will be 10:3, respectively. What is Meena's present age?
(a) 32 years
(b) 40 years
(c) 36 years
(d) Cannot be determined
(e) None of the above
Answer:- (a) 32 years
11. Raman's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum
of the present ages of all three of them is 125 years . What is the difference between the present ages of Raman's daughter and Raman's mother?
(a) 45 years
(b) 40 years
(c) 50 years
(d) Cannot be determined
(e) None of the above
Answer:- (c) 50 years
12. The ages of Harsh and Sumit are 40 years and 60 years , respectively. How many years
before the ratio of
their ages was 3:5?
(a) 15 years
(b) 20 years
(c) 37 years
(d) 10 years
(e) None of the above
Answer:- (d) 10 years
13. The average age of a man and his son is 27 years . The ratio of their ages is 8:1, respectively. What will be
the son's age after 6 years ?
(a) 6 years
(b) 14 years
(c) 12 years
(d) 8 years
(e) None of the above
Answer:- (c) 12 years
14. The difference between the ages of Meena and Seema is 3 yr and the ratio between their
ages is 7 : 8.
What is the sum of their ages?
(a) 43 years
(b) 41 years
(c) 45 years
(d) 48 years
(e) 47 years
Answer:- (c) 45 years
15. At present, the ratio of the ages of Maya and Chhaya is 6: 5 and fifteen years from now,
the ratio will
get changed to 9: 8. Maya's present age is ?
(a) 21 years
(b) 24 years
(c) 30 years
(d) 40 years
(e) None of the above
Answer:- (c) 30 years
16. The ratio of the present age of Manoj to that of Wasim is 3:11 Wasim is 12 years younger
than Rehana.
Rehana's age after 7 years will be 85 years .What is the present age of Manoj's father, who is 25 years older than
Manoj?
(a) 43 years
(b) 67 years
(c) 45 years
(d) 69 years
(e) None of the above
Answer:-(a) 43 years
17. Before 7 years , the ratio of ages of A and B was 3: After 9 years , ratio of their ages will be
7: 8. The present
age of B will be ?
(a) 16 years
(b) 19 years
(c) 28 years
(d) 23 years
(e) None of the above
Answer:- (d) 23 years
18. The ratio between the present ages of Indira and Lizzy is 3:8, respectively. After 8 years , Indira's age will
be 20 years . What was Lizzy's age 5 years ago?
(a) 37 years
(b) 27 years
(c) 28 years
(d) 38 years
(e) None of the above
Answer:- (b) 27 years
19. The ratio between the present ages of Tarun and Varun is 3:7, respectively. After 4 years , Varun's age will
be 39 years . What was Tarun's age 4 years ago?
(a) 12 years
(b) 13 years
(c) 19 years
(d) 18 years
(e) None of the above
Answer:- (e) None of the above ( 11years)
20.7 yr ago, the ages of A and B were in the
ratio 4: 5 and 7 years hence, they will be in the ratio 5: 6. The present age of B is ?
(a) 56 years
(b) 63 years
(c) 70 years
(d) 77 years
(e) None of the above
Answer:- (d) 77 years
21. At present, Kavita is twice Sarita's age. 8 years hence, the respective ratio between Kavita's and Sarita's
ages will be 22:13 What is Kavita's present age?
(a) 26 years
(b) 18 years
(c) 42 years
(d) 36 years
(e) None of the above
Answer:-(d) 36 years
22. The average age of a family of five members is 24. If the present age of the youngest member is 8 years ,
what was the average age of the family at the time of the birth of the youngest member?
(a) 20 years
(b) 16 years
(c) 12 years
(d) 18 years
(e) 21 years
Answer:- (a) 20 years
23. Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6
times that of Ram. What is the present age of Shyam?
(a) 15 years
(b) 20 years
(c) 16 years
(d) 24 years
(e) 8 years
Answer:- (c) 16 years
24. The present ages of two persons are 36 and 50 yr, respectively. If after n yr the ratio of their ages will
be 3 : 4, then the value of n is ?
(a) 3
(b) 4
(c) 7
(d) 6
(e) None of the above
Answer:- (d) 6
25. The ratio of the ages of Ram and Rahim 10 yr ago was 1: 3 The ratio of their ages five years hence will
be 2: 3. Then, the ratio of their present ages is ?
(a) 1 : 2
(b) 3 : 5
(c) 3 : 4
(d) 2 : 5
(e) None of the above
Answer:- (c) 3 : 4
26. At present, Palash is three times Arnav's age. After 7 years , Palash will be twice Arnav's age, then how
many times will Palash's age be in another 14 years time with respect to Arnav's age then?
(a) 21 years
(b) 23 years
(c) 22 years
(d) 21.5 years
(e) None of the above
Answer:- (a) 21 years
27. 10 yr before, the ratio of ages of A and B
was 13:17. After 17 years from now, the
ratio of their ages will be 10:11 The
present age of B is ?
(a) 23 years
(b) 40 years
(c) 27 years
(d) 44 years
(e) None of the above
Answer:- (c) 27 years
28. The age of a man after 15 years is 4 times the age of that man 15 years before. His present age is ?
(a) 10 years
(b) 15 years
(c) 20 years
(d) 25 years
(e) None of the above
Answer:- (d) 25 years
29. The present age of Ravi's father is four times Ravi's present age. Five years back, Ravi's father was
seven times as old as Ravi was at that time. What is the present age of Ravi's father?
(a) 84 years
(b) 70 years
(c) 40 years
(d) 35 years
(e) None of the above
Answer:- (c) 40 years
30. Ravi's brother is 3 years elder to him. His father was 28 years of age when his sister was born, while his
mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, the
ages of Ravi's father and mother respectively when his brother was born were ?
(a) 32 years and 23 years
(b) 32 years and 29 years
(c) 35 years and 29 years
(d) 35 years and 33 years
(e) None of the above
Answer:- (a) 32 years and 23 years
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