Question

Shweta is twice as old as her daughter. In 6years, she will be 6times as old as her daughter was 11 years ago. How old is each now ?

Answer 1

let the present age of Shweta=x years
let the present age of daughter=y years
A.T.Q.
x=2y ----------(1)
x+6=6(y-11)
x+6=6y-66
x-6y=-66-6
x-6y=-72 -------(2)
putting the value of x in the eq.(2) from eq.(1),
2y-6y=-72
-4y=-72
y =(-72)÷(-4)
y=18
putting the value of y in eq.(1)
x=2(18)
x=36
The present age of Shweta=36years
The present age of daughter=18years