Uday is 3 times elder than Karan. The sum of their ages is 36 years. In how many years will Uday be twice as old as Karan?
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Answer
After 9 years Uday will be twice as old as Karan
Given
1 . Uday is 3 times elder than Karan
2 . The sum of their ages is 36 years
To Find
In how many years will Uday be twice as old as Karan
Solution
Let the age of Karan be " x "
So , A/c to 1st condition ,
Age of Uday be " 3x "
A/c to 2nd condition ,
⇒ x + 3x = 36
⇒ 4x = 36
⇒ x = 9
So , Age of Karan , x = 9 years
Age of Uday , 3x = 27 years
____________________
Let , In " y " years Uday be twice as old as Karan .
⇒ 27 + y = 2 ( 9 + y )
⇒ 27 + y = 18 + 2y
⇒ 9 = y
⇒ y = 9
So , After 9 years Uday will be twice as old as Karan
____________________
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