Question

A brother had 5times as much money as his sister. after giving rupees 25to his sister, he now has doubled the money his sister has. how much money did they have in the beginning?​

Answer 1

Let Sister Have =₹ x

Then Brother Have=₹ 5x

After Giving ₹25 .

Sister Have=₹(x+25)

Brother Have=₹(5x-25)

His Sister have ₹(x+25)

His Brother Have doubled money

=₹2(x+25)

A/Q

2(5x+25)=5x-25

2x+50=5x-25

2x-5x=-25-50

-3x=-75

x=75/3

x=₹25

Sister have x money=₹25

Brother have 5x money=5×25=₹125

Check.

Brother Give ₹25 Sister have Now=₹50

Brother have Now ₹100

It is doubled.

$\boxed{\mathbf{Sister\:Have=Rs.25</p><p>}}$

$\boxed{\mathbf{Brother\:Have=Rs.125</p><p>}}$