kirti's father is five times as old as kirti after 5 years,father will be three times as old as kirti.find their present ages
Answers
Answer :-
Present ages of Kirti and father are 5 years and 25 years respectively.
Explanation :-
Let the age of Kirti be x years
Age of Kirti's father = 5 times the age of Kirti = 5(x) = 5x years
Age of Kirti after 5 years = (x + 5) years
Age of Kirti's father after 5 years = (5x + 5) years
Given
Age of the father after 5 years = 3 times the age of Kirti
⇒ 5x + 5 = 3(x + 5)
⇒ 5x + 5 = 3x + 15
⇒ 5x - 3x = 15 - 5
⇒ 2x = 10
⇒ x = 10/2
⇒ x = 5
Present age of Kirti = x = 5 years
Present age of father= 5x = 5(5) = 25 years.
∴ Present ages of Kirti and father are 5 years and 25 years respectively.
Present age of Father = 25 years
Present age of Kirti = 5 years.
Given :-
- Kirti's father is five times as old as Kirti
- After 5 years,father will be three times as old as Kirti
To find :-
- Present age of Father
- Present age of Kirti
Solution :-
Let the present age of Father be x years.
Let the present age of Kirti be y years.
- Kirti's father is five times as old as Kirti
----> (1)
- After 5 years,father will be three times as old as Kirti
Ages after 5 years :-
Father's age = x + 5 years
Kirti's age = y + 5 years
----> 2
Substitute x = 5y in equation 2 for x,
Substitute y = 5 in equation 1,