Question

ankita's mother's present age is six times ankita's present age .ankita's age five years from now, will be one -third to her mother's present age. what are their present ages?

Answer 1

let ankita's age be x yrs
and her mother's age be y yrs
ATQ,
6x=y 1
x+5=1/3y 2
Solving eqn 1&2 we get,
x+5=1/3 ×6x
x+5=2x
x=5
putting value of x in eqn 1
6x=y
y=30
Hence,
ankita's age =5yrs
her mother's age =30 yrs

Answer 2

Let ankita's present Age =x

So her mother's age =y

6x=y
Five year from now will be =x+5

And it is 1/3 of her mother's present age

X+5=6x/3
X+5=2x
2x-x=5
X=5

Ankita's age =5
And her mother=5x6=30