Question

Nirmala is twice old as shweta.if six years is subtracted from shweta's age and four years added to Nirmala 's age, then Nirmala will be four times shweta's age.How old were they two year back from their present age?

Answer 1

Let present age of shweta be X year's.


Present age of nirmala = 2 ( Present age of shweta ) = 2X year's.



★ Subtracting 6 year's from shweta's present age.


( X - 6 ) year's.



★ Adding 4 years to nirmala's present age.


( 2X + 4 ) year's.




According to question ,


When 6 year's subtracted from shweta's age and 4 Years added to nirmala's present age. Then, nirmala's age is equal to four times shweta's age.



Therefore,


2X + 4 = 4 ( X - 6 )


2X + 4 = 4X - 24



4X - 2X = 4 + 24



2X = 28


X = 14 year's.


Present age of shweta = X = 14 year's.


and,

Present age of nirmala = 2X = 28 year's.