Question

Tina is 3 times as old as her little brother Yuvraj, but in 3more years, she will be only twice as old as Yuvraj will be then. Find their present ages.

Answer 1

Let Tina's age be x years and Yuvraj's age be y years.

So, x = 3y and

x+3 = 2(y+3)

Solve this now.. derive a pair of equation in two variables and use elimination method.

Answer 2

let the present age of yuvraj be ' x '

since, the age of tina is 3 times the age of yuvraj .

present age of yuvraj = x

present age of tina = 3 × x = 3x

after 3 years :

age of yuvraj = ( x + 3 ) yrs

age of tina = (3x + 3 ) yrs

according to the statement :

( 3x + 3 ) = 2 × ( x + 3 )

3x + 3 = 2x + 6

3x - 2x = 6 - 3

x = 3 yrs

therefore ,

present age of yuvraj = x = 3 yrs

present age of tina = 3 x = 3 × 3 = 9 yrs

Your Answer: yuvraj = 3 yrs ,tina = 9 yrs