Problems Based on Ages

1) The current age of Savan is four times the age of Akshan. 10 yr later from now, Savan’s age will be twice the age of Akshan. What is Savan’s current age?

2) Nikhil is 8 yr younger than his brother Rohan. How old will Rohan be when he is twice as old as Nikhil?

3) Ram is 4 times his son’s age today. Five years later, hence Ram will be thrice his son’s age. Find their current ages? (A) 60, 15 (B) 40, 10 (C) 20, 5 (D) 32, 8

4) Hema was twice as old as Geetha 10 yr ago. How old is Geetha today, if Hema will be 40 yr old 10 yr, hence?

5) The average age of 30 students is 15 yr. If the teacher’s age is also included, then the average age increases by 1 yr. The age of the teacher is

6) Mr. Mani’s age is 47 yr and John’s age is 13 yr. In how many years will Mr. Mani’s age be double of John’s age?

7) The sum of ages of mother, daughter and son is 87 yr. What will be the sum of their ages after 8 yr?

8) The average age of husband, wife and their child 3 yr ago was 27 yr and that of wife and the child 5 yr ago was 20 yr. The present age of husband is

9) 10 yr ago, average age of A and B is 20 yr. Average age of A, B and C is 30 yr today. How old C will be after 5 yr?

10) Adam who is 20 yr old is 4 times as old as Mary. What will be Mary’s age when Adam is twice as old as her?

11) A person’s present age is two-fifth of the age of his mother. After 8 yr, he will be one-half of the age of his mother. How old is the mother at present?

12) In a particular situation ‘A’ is 4 yr elder to ‘B’. 16 yr later ‘A’ will be thrice of his present age and ‘B’ will be five times of his present age. Find the ages of ‘A’ and ‘B’ two years before the given situation.

13) The sum of the ages of a father and a son presently is 70 yr. After 10 yr, the son’s age is exactly half that of the father’s. What are their ages now?

14) Praveen is twice as old as Roopa and 6 yr older than Deepak. If Deepak is 12 yr, how old is Roopa?

15) 12 yr old Sami is three times as old as his brother Vinay. How old will Sami be when he is twice as old as Vinay?

16) In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth?

17) Govind is 48 yr old. He is twice as old as his son Prem is now. How old was Prem seven years before?

18) Mother was three times the age of her daughter 5yr ago. After 5yr, mother will be twice as old as her daughter. How old is the daughter today?

19) The average age of 19 boys in a class is 21 yr. If the teacher’s age is included, the average increases to 22 yr. What is the teacher’s age?

20) A man is 3 yr older than his wife and four times as old as his son. If the son beomces 15 yr old after 3 yr, what is the present age of the wife?

21) A father tells his son, “I was three times of your present age when you were born.” If the father’s present age is 48 yr, how old was the boy 4 yr ago?

22) Abhay’s age after 6 yr will be three-seventh of his father’s age. Ten years ago, the ratio of their ages was 1 : 5. What is Abhay’s father’s age at present?

23) Mahesh is 60 yr old. Ram is 5 yr junior to Mahesh and 4 yr senior to Raju. The youngest brother of Raju is Babu and he is 6 yr junior to him. What is the age difference between Mahesh and Babu?

24) The present ages of Vikas and Sujit are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Sujit’s present age in years?

25) The difference of the ages of Rohit and Axar is 12 yr. The ratio of their ages is 3 : 5. The age of Axar is

26) Ram’s age was square of a number last year and it will be cube of a number next year. How long must he wait before his age is again the cube of a number?

27) ‘X’ and her grandfather differ in their ages by 50 yr. After 6 yr, if the sum of their ages is 152, their present age are

28) A father’s age is now three times that of his elder daughter. 5 yr back his age was eight times that of his younger daughter. If the difference of age of the two daughters is 5 yr, what is the age of the father now?

29) Rahim and his uncle difference in their ages by 30 yr. After 7 yr, if the sum of their ages is 66, what will be the age of his uncle?

30) The difference between the ages of two brothers is same as the difference between ages of their father and mother. The age of the elder brother is 25 yr. At the time of the birth of younger brother his mother’s age was 32 yr. If father’s age is 5 yr more than mother’s age, then what was the age of father at the time of elder brother’s birth?

31) A father’s age is one more than 5 times of his son’s age. After 3 yr, the father’s age would be 2 less than four times the son’s age. Find the present age of the father.

32) A was twice as old as B, two yr ago. If the difference in their ages be 2 yr, find A’s age

33) A said to B, ‘‘When I was of your age, my age was twice as old as your age at that time. If the sum of their ages is 63 yr, then what is the present age of A?

34) A person is 4 yr elder than his wife and his age is four times the age of his son. 4 yr hence his son’s age will be 16 yr, then what is the present age of his mother?

35) A, B, C, D are four friends. Average age of A and C is 35 yr and that of B, and D is 40 yr. Average age of B, C and D is 40 yr. The sum of the ages of A and D is equal to that of B and C. Find out the age (in yr) of A, B, C and D.

36) Jai and his father has an age difference of 35 yr now. After 5 yr the sum of their age is 135. What will be the age of Jai and his father after 12 yr from now?

37) In a family, mother’s age is twice that of daughter’s age. Father is 10 yr older than mother. Brother is 20 yr younger than his mother and 5 yr older than his sister. What is the age of the father?

38) 2 yr ago, a mother was 4 times as old as her son. 6 yr from now her age will become more than double her son’s age by 10 yr. What is the present ratio of their ages?

39) In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 yr younger to her husband and the son is seven years older than daughter. What is the age of the mother?

40) The difference between the ages of two brothers is same as the difference between the ages of their parents. The age of elder brother is 15 yr. At the time of the birth of younger brother their mother’s age is 37 yr. If father’s age is 5 yr more than mother’s age, then what was the age of father at the time of elder brother’s birth?

41) Neela is now three times as old as her daughter Leela. 10 yr back, Neela was five times as old as Leela. The age of Leela is

42) A is 16 yr older than B. But half the age of B is equal to one-third of A’s age. Find present age of A and B?

43) The age of a father is twice that of his son’s present age. After 5 yr, the sum of their ages will be 85. How old are they now?

44) The sum of the ages of 4 children born at the intervals of 4 yr is 48. Find the age of the youngest child.

45) At the time of my birth, my mother’s age was 23 yr. After 6 yr, my sister was born, at that time my father’s age is 34 yr. What is the difference between the ages of my father and mother?

46) Ashok’s mother was 3 times as old as Ashok 5 yr ago. After 5 yr she will be twice as old as Ashok. How old is Ashok today?

47) Amit was born 5 yr before Rakesh. Rakesh is 3 yr younger to Anil. If Amit is now 17 yr old, how old is Anil?

48) Mani is double the age of Prabhu. Ramona is half the age of Prabhu. If Mani is sixty year old, find out the age of Ramona.

49) The average of age of three boys is 35 yr and the ratio of

50) 20 yr ago, Antony’s age was 1/2 of what his age now is. What is the age now?

51) The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years, hence the ratio of their ages will be 14 17: . What will be the ratio of their ages 12 yr hence?