Age related Word Problems for Linear equations

Linear equations

 

 

Question 1
A and B are friends and their ages differ by 2 years. A’s father D is twice as old as A and B is twice as old as his sister C. The age of D and C differ by 40 years. Find the ages of A and B.

Answer : – x=26 and y=24

 

 

 

Question 2
The ages of two friends Manjit and Ranjit differ by 3 years. Manjit’s father Dharam is twice as old as Manjit and Ranjit as twice as old as his sister Jaspreet. The ages of Jaspreet and Dharam differ by 30 years. Find the ages of Manjit and Ranjit.

Answer :- 40 year, 10 year

 

 

 

 

Question 3
Father’s age is three times the sum of his two children’s age. After 5 years his age will be twice the sum of the ages of two children. Find the age of father.

Answer :- 45 years

 

 

 

 

Question 4
A is elder to B by 2 years. A’s father F is twice as old as A and B is twice as old as his sister S. If the ages of the father and sister differ by 40 years, find the age of A.

Answer :- 20 years

 

 

 

 

Question 5
Ten years ago, a father was twelve times as old as his son and ten years hence, he will be twice as old as his son will be then. Find their present ages.

Answer :- 34 years, 12 years

 

 

 

Question 6

Five years ago, Neeta was trice as old as Reeta. Ten years later, Neeta will be twice as old as Reeta, How old are Neeta and Reeta now?

Answer :- Age of Neeta = 50 years and age of Reeta = 20 years

 

 

 

Question 7

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be:

A) 23 years               B) 19 years                  C) 20 years                        D) 22 years

Answer :- (C) 20 years.

 

 

 

Question 8

 The difference in the age of two people is 20 years. If 5 years ago, the elder one of the two was 5 times as old as the younger one, then their present ages are equal to:

A) 20 and 30 years respectively

B) 30 and 10 years respectively

C) 15 and 35 years respectively

D) 32 and 22 years respectively

 

Answer :- (B) 30 and 10 years respectively

 

 

 

 

Question 9

 Yasir is fifteen years elder than Mujtaba. Five years ago, Yasir was three times as old as Mujtaba. Then Yasir’s present age will be:

A) 29 years                  B) 30 years                     C) 31 years                        D) 32 years

Answer :- (A) 29 years.

 

 

 

Question 10

Ten years ago, the age of a person’s mother was three times the age of her son. Ten years hence, the mother’s age will be two times the age of her son. The ratio of their present ages will be:

A) 10:19                        B) 9: 5                                 C) 7: 4                                      D) 7: 3

Answer :- (D) 7 : 3 .

Practice Questions

 

Q 1: The age of a man is 24 years more than his son. In two years, the father’s age will be twice that of his son. Then the present age of his son is:
A) 18 years                   B) 21 years               C) 22 years                 D) 24 years

Ans: C) 22 years.

 

 

 

Q 2: After 15 years Ramesh’s age will be 5 times his age 5 years ago. What is the present age of Ramesh?
A) 5 years                     B) 10 years               C) 15 years                  D) 20 years

Ans: B) 10 years