### Brain Teasers

# Wonks / Winks

In the land of Madadia they have their own Currency called the Wonk, which is made up of one hundred Winks.

Mad Ade entered the Bank of Madadia and requested to withdraw a specific amount of Wonks and Winks

X Wonks and Y Winks.

The Cashier misheard Mad Ade's request and accidentally gave Mad Ade Y Wonks and X Winks. Neither Mad Ade or the cashier noticed the mistake, so Mad Ade left the bank.

After spending 20 Winks in the "Sweaty Chef" Kebab shop, Mad Ade counts his money, and to his surprise, he has double the amount he wanted to withdraw to begin with.

Find X and Y. (1Wonk = 100 Winks)

Mad Ade entered the Bank of Madadia and requested to withdraw a specific amount of Wonks and Winks

X Wonks and Y Winks.

The Cashier misheard Mad Ade's request and accidentally gave Mad Ade Y Wonks and X Winks. Neither Mad Ade or the cashier noticed the mistake, so Mad Ade left the bank.

After spending 20 Winks in the "Sweaty Chef" Kebab shop, Mad Ade counts his money, and to his surprise, he has double the amount he wanted to withdraw to begin with.

Find X and Y. (1Wonk = 100 Winks)

### Answer

As given, the person wanted to withdraw 100X + Y Winks.But he got 100Y + X Winks.

After spending 20 Winks, he has double the amount he wanted to withdraw. Hence, the equation is

2 * (100X + Y) = 100Y + X - 20

200X + 2Y = 100Y +X - 20

199X - 98Y = -20

98Y - 199X = 20

Now, we got one equation; but there are 2 variables. We have to apply little bit of logic over here. We know that if we interchange X & Y, amount gets double. So Y should be twice of X or one more than twice of X i.e. Y = 2X or Y = 2X+1

Case I : Y=2X

Solving two equations simultaneously

98Y - 199X = 20

Y - 2X = 0

We get X = - 20/3 & Y = - 40/2

Case II : Y=2X+1

Solving two equations simultaneously

98Y - 199X = 20

Y - 2X = 1

We get X = 26 & Y = 53

Now, its obvious that he wanted to withdraw 26 Wonks and 53 Winks

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