Tricky but easy!

Algebra Level 1

a^b + b^a=201

find a+b=?

NOTE: a and b belong to a set of positive integers


The answer is 201.

Aabidh Zubair by Aabidh Zubair , 26, India

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1 solution

Aabidh Zubair
Sep 12, 2014

the only possible solution for the equation is

200^1+1^200=201

therefore a=200 and b=1

thus a+b=201

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Why is that the only possible solution? There are infinitely many real solutions to this. Did you want it to be limited to positive integers?

Chung Kevin - 6 years, 9 months ago

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Chung, the problem specified that. Ed Gray

Edwin Gray - 2 years, 10 months ago

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The problem was edited after my comment.

Chung Kevin - 2 years, 10 months ago

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@Chung Kevin – Thanks, Ed

Edwin Gray - 2 years, 10 months ago

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