Question

Sandhya's present age is four times her daughter's present age. After $16$ years, she will be twice the age of her daughter's age. What is the present age of Sandhya's daughter?

Answer 1

Finding the present age of Sandhya's daughter:

Let the age of Sandhya's daughter be $x$ years.

Sandhya's present age $=4x$ years

After $16$ years, she will be twice the age of her daughter's age.

$\therefore$$$\begin{gathered} 4x+16=2(x+16) \\ 4x+16=2x+32 \\ 4x-2x=32-16 \\ 2x=16 \\ x=8 \end{gathered}$$

Thus, the present age of Sandhya's daughter is $8$ years.