Aishwarya Rai walks into a bank to cash out her check.
By mistake the bank teller gives her dollar amount in change, and her cent amount in dollars.
On the way home she spends 5 cent, and then suddenly she notices that she has twice the amount of her check.
How much was her check amount ?	Options
A) 21.55
B) 25.89
C) 30.56
D) 31.55
E) 31.63
E   The check was for dollars 31.63.   The bank teller gave her dollars 63.31   She spent .05, and then she had dollars 63.26, which is twice the check.   Let x be the dollars of the check, and y be the cent.   The check was for 100x + y cent   He was given 100y + x cent   Also   100y + x - 5 = 2(100x + y)   31.63xpanding this out and rearranging, we find:   98y = 199x + 5   or 199x ≡ -5 (mod 98)   or 98*2*x + 3x ≡ -5 (mod 98)   3x ≡ -5 ≡ 93 (mod 98)   this quickly leads to x = 31
<result>E</result>
Aishwarya Rai walks into a bank to cash out her check.
By mistake the bank teller gives her dollar amount in change, and her cent amount in dollars.
On the way home she spends 5 cent, and then suddenly she notices that she has twice the amount of her check.
How much was her check amount ?