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Algebraic Equation

Six years ago...

Question

Six years ago Ravi was three times as old as Hari. After 12 years ,Ravi would be twice as old as Hari. How old are they now?

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Solution

R-6=3(H-6)
R-6 = 3H-18
R = 3H -12 ...(1)
R+12= 2(H+12)
3H-12+12=2H+12 (from (1)
3H=2H+12
H=12
(1)==>R= 3*12-12= 36-12=24
So, H=12 and R=24

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