Karan and Kundan are two brothers. Presently Karan is four times the age of Kundan. After 6 years Karan's age will be twice as that of Kundan. What is the present age of Kundan?
With SOLUTION....
Answers
Step-by-step explanation:
let
Kundan age=x
so
Karan age=4x
after 6year
kundan age=x+6.......1equation
so
Karan age=2(x+6)=2x+12.........2equation
question say it ,Karan age will be twice. so,:-
2x+12=x+6/2
4x+48=x+6
3x=-42
x=-42/3
x=-14
so age kabhi bhi nigetive m nhi hoti esliye kundan age=14
pls put this value in equation 1and 2,for check your ans is right or not.
Answer:
The present age of Kundan is 3 years.
Step by Step Explanation :
Given :-
- Karan is four times the age of Kundan.
- After 6 years, Karan will be twice as that of Kundan.
To Find :-
Present age of Kundan.
Solution :-
Let the present age of Kundan be x.
It is given that Karan's age is four times that of Kundan.
So, Karan's age = 4x
Kundan's present age is x.
After 6 years,
Kundan's age will be x + 6.
It is given that after 6 years Karan's age will be twice as that of Kundan.
So, Karan's age = 2(x + 6)
But six years before,
Karan's age was 4x.
So, after 6 years, Karan's age will be 4x + 6.
Now, we have two ways in which Karan's age is being expressed which is 4x + 6 and 2(x + 6).
But since both ages refer to Karan only, so they will be equal.
Hence,
4x + 6 = 2(x + 6)
Now, we will solve this equation and find the value of x.
4x + 6 = 2(x + 6)
4x + 6 = 2x + 12
2x = 6
x = 3
So, x = 3
We had supposed Kundan's age as x.
Therefore, Kundan's age is 3 years.