Math, asked by riyaaaz, 1 year ago

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

Answered by anujsingh10092000
3

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.

Answered by manas3379
10

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.

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