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Question

Ruchi and Sindu went shopping, Sindu had twice the amount of money as Ruchi. Ruchi shopped for clothes worth rupees 60 and Sindhu spend rupees 210. Now both of them have the same amount of money left .how much money did each have in the beginning?
Pls, tell me how to solve.

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Solution

Let Sindhu have total amount at the beginning = x

And

Ruchi have total amount at the beginning = y

Now according to first condition , we get

x = 2y -------------------------- ( 1 )

Now we Ruchi spent Rs 60 and Sindhu spent Rs. 210 and remaining ammount is same , SO

x - 210 = y - 60

2y - 210 = y - 60 ( From equation 1 x = 2y )

y​ = 150 , Substitute that value in equation 1 and get

x = 2 ( 150 )

x = 300

So,
At the beginning Ruchi had total amount = Rs . 150
And
Sindhu had total amount= Rs , 300

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