Question

Rajis age is 3 times that of Rajan. After two years Rajis age would be two times of Rajan. How old are they now

Answer 1

Let Rajan's age be x then Rajis's age would be 3x

After two years Rajis's age would be two times of Rajan =

$(x + 2)2 = 3x + 2 \\ 2x + 4 = 3x + 2 \\ 4 - 2 = 3x - 2x \\ x = 2$

Hence, x = 2 then 3x = 6

So, Rajan's age is 2 years and Rajis's age is 6 years.

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Answer 2

let rajan's age be x then rajis age will be 3x

after two years rajis age will be

(x+2)2=3x+2

2x+4=3x+2

4−2=3x−2x

x=2

therefore rajan's age is 2

and rajis age is 6