Question 1

Nisha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. The difference of ages of her parents is:

Accepted Answer

Le t us assume the present Nisha's age be P years. Then Nisha's younger brother Age will be P - 4. Then father present age = 38 + P Mother present Age = 36 + P - 4 = 32 + P According to question, Difference in age of parents = Father age - Mother age Difference in age of parents = 38 + P - (32 + P) Difference in age of parents = 38 + P - 32 - P = 6 years.

Question 2

Kamal is 5 times older than her sister Geeta, who is 2 years less than her brother Ram. If Ram is 8 years old, then what will be the age of Kamal?

Accepted Answer

Given that :- The age of Ram = 8 years. The age of Geeta = Age of Ram - 2 years The age of Geeta = age of Ram - 2 years = 8 – 2 = 6 years. According to question , ∴ Age of Kamal = 5 x Age of Geeta The age of Kamal = 6 × 5 = 30 years.

Question 3

Your age is 10 years less than half your mother's age who is 5 years younger than your father. If your father is 45 years old, what is your age?

Accepted Answer

Question 4

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

Accepted Answer

Suppose the present age of son is P years. Therefore, present age of the father = 4P years According to question The present age of son + 3 years = 15 ∴ The present age of son ( P ) = 15 – 3 = 12 years The present age of father = 4P = 4 × 12 = 48 years ∴ The present age of man's wife = The present age of father - 3 = 48 – 3 = 45 years

Question 5

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

Accepted Answer

Suppose the age of son is P years Therefore, the age of father will be 5P + 1 According to question , ∴ 4( age of son + 3 ) – 2 years = age of father + 3 years ⇒ 4 ( P + 3 ) – 2 = ( 5P + 1 ) + 3 ⇒ 4P + 12 – 2 = 5P + 4 ⇒ 10 – 4 = 5P – 4P ∴ P = 6 Age of father = 5P + 1 = 5 × 6 + 1 = 31 years Hence , the age of father is 31 years .

Question 6

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

Accepted Answer

Given that :- The average age of 19 boys in a class = 21 years Total age of 19 boys = 19 × 21 = 399 years The average age of 19 boys and teacher = 22 years Total age of 19 boys and teacher = 20 × 22 = 440 years ∴Teacher's age = Total age of 19 boys and teacher - Total age of 19 boys Teacher's age = 440 – 399 = 41 years Hence , the age of teacher is 41 years .

Question 7

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

Accepted Answer

Question 8

At present a father's age is 30 years more than that of his only son. What was his age when the son was born?

Accepted Answer

Suppose the age of son at present = P years ∴ Present age of the father = Present age of son + 30 years Present age of the father = P + 30 years Age of father at the birth of his son = Present age of the father - Present age of son = ( P + 30 ) – P = 30 years

Question 9

Ravi is younger to his brother by 3 years. At the time of birth of his sister the age of his father was 28 years and that of his mother was 26 years. The age of his sister was 4 years at the time of birth of his brother. What was the age of his fath…

Accepted Answer

The age of sister of Ravi at the time of birth of Ravi's brother = 4 years Ravi's sister is 4 + 3 = 7 years elder than Ravi. The age of father at the time of birth of Ravi = 28 + 7 = 35 Years

Question 10

The sum of the ages of a daughter and mother is 56 years. After 4 years, the age of the mother will be 3 times that of the daughter. Their respective ages are.

Accepted Answer

Suppose the age of mother be P years and that of daughter's age be Q years. According to question P + Q = 56 .........(i) After 4 years, P + 4 = 3 (Q + 4) ⇒ P + 4 = 3Q + 12 ⇒ P – 3Q = 8 ......(ii) On solving equations (i) and (ii) , we get Q = 12 years ∴ P = 56 – 12 = 44 years Hence , the age of mother is 44 years and her daughter's age is 12 years .

Question 11

The average weight of 8 persons of a family is increased by 1 kg when one of the members whose weight is 60 kg is replaced by a new person. The weight of the new person (in kg) is

Accepted Answer

Here , n = 8 , Weight of replaced person = 60 kg and increase in Average = 1 kg Using formula , ∴ Weight of new person = Weight of replaced person + n × increase in Average Weight of new person = 60 + 8 × 1 = 68 kg

Question 12

The average age of three friends A, B, C is 20 years. The average age of A and B is 19 years. What is the age of C?

Accepted Answer

Given that :- The average age of three friends A, B, C = 20 years. Total age of three friends A, B, C = 3 x 20 = 60 years. The average age of A and B = 19 years. Total age of of A and B = 2 x 19 = 38 years. ∴ Age of C = Total age of three friends A , B and C - Total age of of A and B Age of C = 60 – 38 = 22 years

Question 13

The sum of the ages of a father and a son presently is 70 years. After 10 years the son's age is exactly half that of the father's. What are their ages now?

Accepted Answer

Suppose the present age of son = P years The present age of father = Q years P + Q = 70 ...(i) According to question, 2(P + 10) = Q + 10 ⇒ 2P + 20 = Q + 10 ⇒ 2P – Q = –10 ....(ii) From equations (i) and (ii) , we get 3P = 70 – 10 = 60 ⇒ P = 20 years ∴ Q = 70 – 20 = 50 years

Question 14

A father tells his son, "I was 3 times of your present age when you were born." If the father's present age is 48 years, how old was the boy 4 years ago?

Accepted Answer

Suppose that son's age before 4 years = P Present age of the son = P + 4 At son's birth father's age = 3(P + 4) = 3P + 12 The father's present age = (3P +12) + (P + 4) = 48 ⇒ 4P = 48 years – 16 = 32 ⇒ P = 8 years Therefore, 4 years ago the boy was = 12 – 4 = 8 years

Question 15

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

Accepted Answer

The average age of husband, wife and their child 3 years ago = 27 years Total age of husband, wife and their child 3 years ago = 27 × 3 = 81 years The average age of wife and the child 5 years ago = 20 years Total age of wife and child five years ago was 20× 2 = 40 years ∴ Total age of wife and child 3 years ago = 40 + (2 × 2) = 40 + 4 = 44 years ∴ Age of husband three years ago = Total age of husband, wife and their child 3 years ago - Total age of wife and child 3 years ago Age of husband three years ago = 81 – 44 = 37 years Therefore, the present age of husband = 37 + 3 = 40 years

Question 16

A father is 3 times as old his son. 8 years ago, the father was 5 times as old as his son. What is the present age of the son?

Accepted Answer

Question 17

The average age of father and his son is 22 years. The ratio of their ages is 10 : 1 respectively. What is the age of the son?

Accepted Answer

Question 18

Govind is 48 years old. He is twice as old as his son Prem is now. How old was Prem 7 years before?

Accepted Answer

Question 19

Joan's age is 42 years and Kelvin's age is 26 years. How many years ago was Kelvin's age half of Joan's age?

Accepted Answer

Question 20

A father said to his son, ''I was as old as you are at the present at the time of your birth''. If the father's age is 52 years now, then the son's age 8 years back was

Accepted Answer

Suppose present age of son = P years Present age of father = 52 years According to question, Father's age at son's birth = son's present age ⇒ 52 – P = P P + P = 52 years ⇒ 2P = 52 ∴ P = 26 years Son's age 8 years back = present age of son - 8 years = 26 – 8 = 18 years

Problems on Ages Questions