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A person wanted to withdraw X rupees and Y paise from the
bank. But cashier made a mistake and gave him Y rupees and
X paise. Neither the person nor the cashier noticed that.
After spending 20 paise, the person counts the money. And
to his surprise, he has double the amount he wanted to
withdraw. Find X and Y.
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Answer Posted / billy busse
One paise = 1/100 of a rupee.
Given the conditions, we know that:
(X*100 + Y)*2 = Y*100 + X - 20
200X + 2Y = 100Y + X - 20
199X - 98Y = -20
We also know that X and Y must both be integers.
So, put the equation in Y = MX + B form:
199X + 20 = 98Y
(199X + 20)/98 = Y
Now put this in the Y= function of a graphing caluclator,
set the table to start at 1 and go up by increments of 1,
and then scroll down the table until you see an integer
pair.
The integer pair occurs at (26,53)
Therefore, X = 26 and Y = 53
| Is This Answer Correct ? | 83 Yes | 11 No |
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