Reverse Engineering

Algebra Level 5

Find x y \frac {x}{y} , where x and y are natural numbers.


The answer is 3.

Satyam Bhardwaj by Satyam Bhardwaj , 24, India

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2 solutions

Arif Ahmed
Mar 3, 2015

There was no "Decimals Ok" below the answer box, so x = ky where 'k' is some integer.On substituting we get an equation in k and y.

Setting y = 1 we get , 3 = k k 2 − 8 3={ k }^{ { k }^{ 2 }-8 }

we can observe that 'k' is 3.

But this is a shabby and crooked way to do it.Hope someone posts a good solution.

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Fox To-ong
Feb 18, 2015

the least possible for x = 3 and y = 1

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What?! How did you deduce that?

Satyam Bhardwaj - 6 years, 3 months ago

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simply do it with trial and error ,you can observe that that x cannot be equal to 1 and y<x. so by trial and error you can observe that x=3 and y=1 is the solution . i think in this case it was the fastest and simplest method!!!. if you have any other systematic method please tell me of it.

avn bha - 6 years, 3 months ago

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Didn't you notice the name of the problem? There sure as hell would be some reference to how I created the problem? I take random simple facts and introduce variables to it, i.e. creating the question using the answer! This is Reverse Engineering. Now to answer your question, I don't consider myself intelligent enough to solve this!

Satyam Bhardwaj - 6 years, 3 months ago

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