Question

The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today's ages.

Answer 1

Let the age of Priyanka be x years and that of Deepika be y years.
The sum of ages of Priyanka and Deepika is 34 years.
$x+y=34$ .....(I)
Priyanka is elder to Deepika by 6 years.
$x-y=6$ .....(II)
Adding (I) and (II) we have
$$\begin{gathered} 2x=40 \\ \Rightarrow x=20 \end{gathered}$$
Putting the value of x in (I) we have
y = 14
Thus, Priyanka's age = 20 years and Deepika's age = 14 years.