Question

6 year ago ,Diya was three times as old as Geeta . After 12 years ,Diya would be twice as old as geeta .how old they are now?

Answer 1

Answer:

The present age of Diya is 48 years !

and that of Geeta 's age is 18 years !!

Step-by-step explanation:

Let the present age of Diya be x and that of Geeta's be y

Given, 6 year ago ,Diya was three times as old as Geeta .

the age of Diya 6 years ago would be x-6

and that of Geeta's would be y-6

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x - 3y = - 6 .... ( i )

Also, After 12 years !!

The age of Diya will be x + 12

and that of Geeta's will be y + 12

Given ; Diya would be twice as old as geeta

x + 12 = 2 ( y + 12 )

x + 12 = 2y + 24

x - 2y = 12 .... ( ii )

From ( i )

x = 3y - 6

in ( ii )

3y - 6 - 2y = 12

y = 18

also, x = 3y - 6 = 3(18) - 6 = 48

x = 48