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Solution
Given :-
- Five years ago, Rahul was three times as old as Rishi .
- 10 years later , Rahul would be twice as old as Rishi .
Find :-
- Age of Rahul & Rishi
Explanation
Let,
- Age of Rahul = x years
- Age of Rishi = y years
A/C to question,
(Five years ago, Rahul was three times as old as Rishi . )
➩ ( x - 5) = 3 * (y - 5)
➩ x - 3y = - 15 + 5
➩ x - 3y = -10 -------------(1)
Again,
(10 years later , Rahul would be twice as old as Rishi )
➩ (x + 10) = 2 * (y + 10)
➩ x - 2y = 20 - 10
➩ x - 2y = 10 ------------------(2)
Subtract equ(1) & equ(2)
➩ -3y + 2y = -10 - 10
➩ -y = -20
➩ y = 20
Now, Keep Value of y in equ(1)
➩ x - 3 * 20 = -10
➩ x = -10 + 60
➩ x = 50
Hence
- Age of Rahul be = 50 years
- Age of Rishi be = 20 years
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