Question

Shivani and Yamini have certain amounts of
money with them. If Shivani gives 60 to Yamini, the
amounts with both will be equal. Instead, if Yamini
gives 20 to Shivani, the amount with Shivani would
become twice the amount left with Yamini. What is
the amount with Shivani?​

Answer 1

Answer:

The amount of money Shivani has is Rs300.

Step-by-step explanation:

Consider the provided information.

Let the amount Shivani has is x and the amount Yamini has is y.

If Shivani gives 60 to Yamini, the  amounts with both will be equal.

$x-60=y+60$

$x-y=120$......(1)

If Yamini  gives 20 to Shivani, the amount with Shivani would  become twice the amount left with Yamini.

$x+20=2(y-20)$

$x+20=2y-40$

$x-2y=-60$

$x=-60+2y$......(2)

Substitute the value of x in equation 1.

$-60+2y-y=120$

$y=180$

Thus, Yamini has Rs180.

Now substitute the value of y in equation 2.

$x=-60+2(180)$

$x=-60+360$

$x=300$

Hence, Shivani has Rs300.