An algebra problem by Abishek Nathan

Algebra Level 3

If x y + y x = 500 x^{y} +y^{x} =500 Find x -y = ?

Assume x &y are natural numbers.


The answer is 498.

Abishek Nathan by Abishek Nathan , 23, India

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1 solution

Abishek Nathan
Nov 27, 2014

Consider x= 499 and y=1. Then on substituting, we get 498.

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If x and y are positive real numbers, then there are multiple solutions. An example would be x = y ≈ 3.99 x = y \approx 3.99 .

Calvin Lin Staff - 6 years, 6 months ago

There was no implication that x and y were integers.

Karan Pedja - 6 years, 5 months ago

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I hope , now you will be clear about the question. Thanks for correcting my mistake.

Abishek Nathan - 6 years, 5 months ago

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