Question 1

A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference in age between the man and his wife is

Accepted Answer

According to question , Age of his wife = 35 years Age of his son = 7 years and Age of man = 32 years At the birth of son, The age of mother = Age of his wife - Age of his son = 35 – 7 = 28 years Difference in age = Age of man - age of mother = 32 – 28 = 4 years

Question 2

Hema was twice as old as Geetha 10 years ago. How old is Geetha today if Hema will be 40 years old 10 years hence?

Accepted Answer

Question 3

Naresh's age is 4 years less than twice the age of his brother. Which of the following represents the equation to find his age?

Accepted Answer

Suppose the age of Naresh's brother = P years According to question , ∴ Age of Naresh = 2 × age of Naresh's brother – 4 Therefore , Age of Naresh = 2P – 4

Question 4

My father is 21 years older than me. In 12 years time, his age will be twice mine. How old am I now?

Accepted Answer

Suppose my age = P years My father's age = my age + 21 years = P + 21 years Again After 12 years , 2 ( my age + 12 ) = My father's age + 12 ⇒ 2 (P + 12) = (P + 21) + 12 ⇒ 2P + 24 = P + 33 ⇒ P = 33 – 24 = 9 years Hence , I am 9 years old now .

Question 5

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?

Accepted Answer

Let us assume at present Ram's age is 26 years Last year his age = 26 – 1 = 25 = (5)2 Next year his age = 26 + 1 = 27 = (3)3 After 27, the next cube number is 64 = (4)3 ∴ Required answer = 64 – 26 = 38 years

Question 6

A father is twice his son's present age. How many years ago, was he three times his son's age, if his son's age is now 20 years?

Accepted Answer

Given that :- Present age of son = 20 years According to question , father's present age = 2 × Present age of son His father's present age = 2 x 20 = 40 years 10 years ago , The age of son = 20 – 10 =10 years Father's age = 40 – 10 = 30 years = 10 × 3 Hence , required answer will be 10 years ago .

Question 7

Today is Vishal's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Vishal today?

Accepted Answer

Suppose, the present age of Vishal be P years. According to question, present age of Vishal + 1 year = 2 ( present age of Vishal - 12 years ) P + 1 = 2(P – 12) ⇒ 2P – P = 25 ∴ P = 25 years Therefore , the present age of Vishal is 25 years .

Question 8

A father was 12 times as old as his son 20 years back. Now he is twice as old as his son. What are their present ages?

Accepted Answer

Suppose the present age of son = P years The present age of father = 2P years According to question , 20 years ago , (2P – 20) = 12 (P – 20) ⇒ 2P – 20 = 12P – 240 ⇒ 12P – 2P = 240 – 20 ⇒ 10P = 220 ∴ P = 22 years Age of father = 2P = 2 x 22 = 44 years

Question 9

The age of a father is twice that of his son's at present age. After 5 years the sum of their ages will be 85. How old are they now?

Accepted Answer

Question 10

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

Accepted Answer

Suppose the present age of son = P years Present age of mother = Q years According to question, 4 (P – 2) = Q – 2 ⇒ 4P – 8 = Q – 2 ⇒ 4P – Q = 6 ...(i) 2 (P + 6) + 10 = Q + 6 ⇒ 2P + 12 + 10 = Q + 6 ⇒ 2P – Q = –16 ...(ii) From equations (i) and (ii) P = 11 ∴ Q = 4 × 11 – 6 = 38 Required the present ratio of their ages = 38 : 11

Question 11

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

Accepted Answer

Suppose the present age of daughter = P years and, the present age of mother = Q years According to questions, 5 years ago , 3 × ( the present age of daughter - 5 ) = ( the present age of mother - 5 ) 3 (P – 5) = (Q – 5) ⇒ 3P – 15 = Q – 5 ⇒ 3P – Q = 10 .......(i) After five years , 2 × ( the present age of daughter + 5 ) = ( the present age of mother + 5 ) 2 (P + 5) = Q + 5 ⇒ 2P + 10 = Q + 5 ⇒ 2P – Q = –5 .......(ii) From equations (i) and (ii) , we get 3P – 2P = 10 – (–5) ⇒ P = 15 years Hence, the present age of daughter is 15 years .

Question 12

Neela is now 3 times as old as her daughter Leela. Ten years back, Neela was 5 times as old as Leela. The age of Leela is

Accepted Answer

Question 13

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

Accepted Answer

The present age of Amit = 17 years 5 years before , age of Rakesh = The present age of Amit - 5 years = 17 – 5 = 12 years ∴ Age of Anil = age of Rakesh + 3 years = 12 + 3 = 15 years

Question 14

The age of Ram is double as that of Shyam and half as that of Suresh. If the sum of their ages is 70, what is the age of Ram?

Accepted Answer

Question 15

X is four years older than Y who is twice as old as Z. If the total ages of X, Y and Z be 34, how old is X?

Accepted Answer

Question 16

Mani is double the age of Prabhu, Ramona is half the age of Prabhu. If Mani is sixty, find out the age of Ramona.

Accepted Answer

Question 17

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

Accepted Answer

Sum of ages of mother, daughter and son (i.e., 3 persons) = 87 years. After 8 years , Sum of their ages = Sum of ages of mother, daughter and son + ( 8 x 3 ) = 87 + (8 × 3) = 87 + 24 = 111 years

Question 18

A was twice as old as B, two years ago. If the difference in their ages be 2 years, find A's age.

Accepted Answer

Suppose the present age of B = P years The present age of A - The present age of B = 2 years. Therefore, the present age of A = P + 2 years According to question, Two years ago , 2( the present age of B - 2 years ) = the present age of A - 2 years 2 (P – 2) = P + 2 – 2 ⇒ 2P – 4 = P ⇒ 2P – P = 4 ∴ P = 4 Age of B = 4 years Age of A = P + 2 = 4 + 2 = 6 years

Question 19

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

Accepted Answer

Question 20

Anil is as much younger to Vivek as he is older to Tarun. If the total of the ages of Vivek and Tarun is 48 years, how old is Anil?

Accepted Answer

Problems on Ages Questions