Question

After making a deposit,puja had $264 in her savings account.She noticed that if she noticed that if she added $26 to the amount originally in the account and doubled the sum,she would get the new amount.How much did she originally have in the account.

Answer 1

Let the original deposit be

x

Add $26 to original deposit

→

x

+

26

And doubled the sum

→

2

(

x

+

26

)

You get the new amount

→

2

(

x

+

26

)

=

264

Multiplying out the bracket

2

x

+

52

=

264

Subtract 52 from both sides

2

x

=

264

−

52

2

x

=

212

Divide throughout by 2

x

=

106

So the original amount was $106.00