Easy to guess but

Number Theory Level pending

Suppose that a a and b b are the smallest consecutive natural numbers such that the reverse of the squares of both a a and b b are also perfect squares.Find the value of a + b a+b ?

Note: a a and b b do no contain 0 as any of their digits.


The answer is 23.

Siddharth Singh by Siddharth Singh , 20, India

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1 solution

Ansh Bhatt
Jul 14, 2015

I got it in the second try, but the reverse of 100, i.e. 001 should also be considered a perfect square. So a=10,b = 11, so a+b = 21 should be correct.

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I input 21, but the correct answer is apparently 23.

Ano Maly - 5 years, 11 months ago

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That's what I mean to say. The answer is displayed to be 23, where as it should be 21.

Ansh Bhatt - 5 years, 11 months ago

Really sorry for that, I edited by adding a note.

Siddharth Singh - 5 years, 11 months ago

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