BdMO National Higher Secondary 2010/6

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BdMO National Higher Secondary 2010/6

Unread post by BdMO » Mon Feb 07, 2011 12:08 am

Problem 6:
$a$ and $b$ are two positive integers both less than $2010$; $a\ne b$. Find the number of ordered pairs $(a, b)$ such that $a^2 + b^2$ is divisible by $5$. Find $a + b$ so that $a^2 + b^2$ is maximum.

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Moon
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Re: BdMO National Higher Secondary 2010/6

Unread post by Moon » Mon Feb 07, 2011 12:15 am

Related discussions: viewtopic.php?f=13&t=208
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